UniformSampleCone, y

Time bar (total: 12.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze194.0ms (1.6%)

Memory
10.3MiB live, 282.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
0%0%0.1%99.9%0%0%0%3
12.5%0%0.1%99.9%0%0%0%4
18.7%0%0.1%99.9%0%0%0%5
28.1%0%0.1%99.9%0%0%0%6
42.2%0%0.1%99.9%0%0%0%7
49.2%0%0%99.9%0%0%0%8
57.4%0.1%0%99.9%0%0%0%9
67%0.1%0%99.9%0%0%0%10
71.8%0.1%0%99.9%0%0%0%11
76.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 49 to 30 computations (38.8% saved)

sample2.1s (16.8%)

Memory
76.0MiB live, 2 268.1MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-<=: 412.0ms (32.4% of total)
ival-mult: 332.0ms (26.1% of total)
const: 131.0ms (10.3% of total)
ival-sin: 109.0ms (8.6% of total)
ival-sub: 103.0ms (8.1% of total)
ival-sqrt: 55.0ms (4.3% of total)
ival-pi: 47.0ms (3.7% of total)
ival-add: 41.0ms (3.2% of total)
ival-and: 28.0ms (2.2% of total)
exact: 10.0ms (0.8% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain225.0ms (1.8%)

Memory
16.5MiB live, 286.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2007(0.00044871302088722587 0.004677688702940941 0.00810146238654852)4(0.005477311089634895 0.00011099997936980799 2.2428521013504156e-25)(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
00-0-(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
00-0-maxCos
00-0-(*.f32 ux maxCos)
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
00-0-(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
00-0-uy
00-0-(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
00-0-(*.f32 uy #s(literal 2 binary32))
00-0-(-.f32 #s(literal 1 binary32) ux)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f32(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))cancellation20315
Confusion
Predicted +Predicted -
+1972
-651
Precision
0.9704433497536946
Recall
0.9899497487437185
Confusion?
Predicted +Predicted MaybePredicted -
+19720
-61338
Precision?
0.9128440366972477
Recall?
1.0
Freqs
test
numberfreq
053
1203
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms510×0valid
0.0ms1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 24.0ms (55.5% of total)
ival-sin: 6.0ms (13.9% of total)
ival-sub: 4.0ms (9.2% of total)
ival-sqrt: 3.0ms (6.9% of total)
ival-pi: 2.0ms (4.6% of total)
ival-add: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess266.0ms (2.2%)

Memory
-0.2MiB live, 268.8MiB allocated
Algorithm
egg-herbie
Rules
21 000×lower-fma.f64
21 000×lower-fma.f32
3 864×lower--.f64
3 860×lower--.f32
2 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify289.0ms (2.3%)

Memory
-1.8MiB live, 278.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff96
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Rules
21 000×lower-fma.f64
21 000×lower-fma.f32
3 864×lower--.f64
3 860×lower--.f32
2 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize38.0ms (0.3%)

Memory
26.4MiB live, 62.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.30859375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy0.32421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.421875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.420563498022084
(-.f32 #s(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
28.0ms255×0valid
0.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35.7% of total)
ival-sin: 6.0ms (30.6% of total)
ival-sub: 2.0ms (10.2% of total)
ival-sqrt: 2.0ms (10.2% of total)
ival-pi: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-11.2MiB live, 26.8MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (patch (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) (patch (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
Outputs
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
Calls

9 calls:

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

simplify285.0ms (2.3%)

Memory
-7.9MiB live, 225.9MiB allocated
Algorithm
egg-herbie
Rules
12 866×lower-fma.f64
12 866×lower-fma.f32
6 636×lower-*.f64
6 636×lower-*.f32
3 508×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite224.0ms (1.8%)

Memory
8.9MiB live, 288.7MiB allocated
Rules
10 194×lower-fma.f64
10 194×lower-fma.f32
5 994×lower-*.f64
5 984×lower-*.f32
3 752×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02757
110357
284357
0921853
Stop Event
iter limit
node limit
iter limit
Counts
6 → 638
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Outputs
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eval146.0ms (1.2%)

Memory
15.6MiB live, 395.3MiB allocated
Compiler

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

prune146.0ms (1.2%)

Memory
-9.3MiB live, 186.6MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New87528903
Fresh000
Picked101
Done000
Total87628904
Accuracy
97.7%
Counts
904 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
56.8%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
16.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
13.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
23.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (+.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))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (*.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 (+.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)))))))
23.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (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))))))
17.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
17.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
56.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
56.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
56.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
57.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
57.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
7.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
46.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
31.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
17.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
28.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
56.9%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 1 772 to 1 118 computations (36.9% saved)

simplify285.0ms (2.3%)

Memory
-14.7MiB live, 264.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
cost-diff64
(*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
cost-diff3232
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
cost-diff64
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff416
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
Rules
27 688×lower-fma.f64
27 688×lower-fma.f32
3 494×lower-+.f64
3 482×lower-+.f32
3 450×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063841
0109824
1191810
2459780
31534780
45614780
08452708
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(*.f32 maxCos ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) ux) ux)
(/.f32 #s(literal 1 binary32) ux)
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(/.f32 #s(literal 2 binary32) ux)
(*.f32 ux ux)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux (fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux (fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux (fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32)))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux (fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32))))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux (fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32)))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (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)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux))
(/.f32 (/.f32 #s(literal 1 binary32) ux) ux)
(/.f32 #s(literal 1 binary32) ux)
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)
(/.f32 #s(literal 2 binary32) ux)
(*.f32 ux ux)

localize188.0ms (1.5%)

Memory
6.3MiB live, 239.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30859375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
accuracy0.32421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.48636630861065216
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))
accuracy0.375
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
accuracy0.39453125
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.421875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.30859375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
accuracy0.32421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.421875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
accuracy0.32421875
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy0.421875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy5.443846541221965
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.30859375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy0.32421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.421875
(*.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)))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
Samples
102.0ms252×0valid
3.0ms1valid
Compiler

Compiled 685 to 47 computations (93.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 27.0ms (41% of total)
ival-sqrt: 11.0ms (16.7% of total)
ival-add: 7.0ms (10.6% of total)
ival-sin: 6.0ms (9.1% of total)
ival-div: 5.0ms (7.6% of total)
ival-sub: 5.0ms (7.6% of total)
ival-pow2: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (0.9%)

Memory
-11.5MiB live, 122.0MiB allocated
Counts
25 → 588
Calls
Call 1
Inputs
#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())
#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) (patch (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (patch (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) (patch (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (patch (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())
#s(alt (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (patch (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())
Outputs
#s(alt (* ux (- (/ 1 ux) 1)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos ux) (* ux (- (/ 1 ux) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos ux) (* ux (- (/ 1 ux) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos ux) (* ux (- (/ 1 ux) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (/ -2 ux) (taylor 0 maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (pow maxCos 2) (taylor inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos)))) (taylor inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 (/ maxCos ux)) (taylor inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))) (taylor inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))) (taylor inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))) (taylor inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (pow maxCos 2) (taylor -inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 (/ maxCos ux)) (taylor -inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))) (taylor -inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))) (taylor -inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))) (taylor -inf maxCos) (#s(alt (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* uy (PI))) (taylor 0 uy) (#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI)))) (taylor 0 uy) (#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5))))))) (taylor 0 uy) (#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5)))))))) (taylor 0 uy) (#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* uy (PI))) (taylor 0 uy) (#s(alt (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) (patch (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* uy (PI))) (taylor 0 uy) (#s(alt (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) (patch (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- (* 2 maxCos) 2))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 2 (* 2 maxCos))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 2 (* ux (- maxCos 1)))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (pow (- maxCos 1) 2) (taylor inf ux) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (patch (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) (patch (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
46.0ms
ux
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)))
4.0ms
maxCos
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)))
2.0ms
maxCos
@0
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)))
2.0ms
maxCos
@inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)))
2.0ms
ux
@inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)))

simplify211.0ms (1.7%)

Memory
30.6MiB live, 337.8MiB allocated
Algorithm
egg-herbie
Rules
7 872×lower-fma.f64
7 872×lower-fma.f32
7 074×lower-*.f64
7 074×lower-*.f32
2 134×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054014314
1177613346
2645213245
0817512631
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(/ -2 ux)
(- (* 2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(- (* 2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(- (* 2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(pow maxCos 2)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* 2 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux)))))
(* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux)))))
(* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux)))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(pow maxCos 2)
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(* 2 (/ maxCos ux))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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1
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1
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1
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(pow (- maxCos 1) 2)
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(pow (- maxCos 1) 2)
(+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2))
(+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(* 2 (/ (- maxCos 1) ux))
(* 2 (/ (- maxCos 1) ux))
(* 2 (/ (- maxCos 1) ux))
(* 2 (/ (- maxCos 1) ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
Outputs
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (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 ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (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 ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (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 ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))
(- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) ux))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(-.f32 (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) maxCos (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) ux))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(-.f32 (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) maxCos (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) ux))
(/ -2 ux)
(/.f32 #s(literal -2 binary32) ux)
(- (* 2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(- (* 2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(- (* 2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (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 ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(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 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(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 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (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 ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32))))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.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 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.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 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.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 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos))) (*.f32 maxCos maxCos))
(* 2 (/ maxCos ux))
(*.f32 (/.f32 maxCos ux) #s(literal 2 binary32))
(* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) maxCos)
(* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) maxCos)
(* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.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 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) maxCos)
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (*.f32 maxCos maxCos))
(* 2 (/ maxCos ux))
(*.f32 (/.f32 maxCos ux) #s(literal 2 binary32))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 2 binary32) ux)))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 2 binary32) ux)))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 2 binary32) ux)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
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(* ux (- 2 (* 2 maxCos)))
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(* ux (- 2 (* 2 maxCos)))
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#s(literal 1 binary32)
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(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
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#s(literal 1 binary32)
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(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
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(/ 1 (pow ux 2))
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(* 2 (/ (- maxCos 1) ux))
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) 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 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* 2 (* ux (- maxCos 1))))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))) ux)
(pow (- maxCos 1) 2)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2))
(fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2)))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -2 binary32) ux) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)))
(+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2)))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -2 binary32) ux) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)))
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (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 1) ux)) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(pow (- maxCos 1) 2)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2))
(fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (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 1) ux)) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))

rewrite299.0ms (2.4%)

Memory
-10.5MiB live, 234.7MiB allocated
Rules
3 522×lower-/.f64
3 516×lower-/.f32
3 014×lower-*.f64
2 976×lower-*.f32
2 342×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063450
0109404
1379368
23162354
08425334
Stop Event
iter limit
node limit
iter limit
Counts
25 → 711
Calls
Call 1
Inputs
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (*.f32 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 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
Outputs
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eval678.0ms (5.5%)

Memory
1.8MiB live, 538.1MiB allocated
Compiler

Compiled 75 857 to 5 450 computations (92.8% saved)

prune160.0ms (1.3%)

Memory
22.6MiB live, 419.6MiB allocated
Pruning

58 alts after pruning (58 fresh and 0 done)

PrunedKeptTotal
New1 996452 041
Fresh101323
Picked505
Done000
Total2 011582 069
Accuracy
98.0%
Counts
2 069 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.4%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
57.0%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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))))))
23.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (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))))))
53.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
0.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
30.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
28.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
16.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
13.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
23.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (+.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))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (*.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 (+.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)))))))
23.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
60.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))))))))
60.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32)))))
60.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)))))))
23.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) (/.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))))
60.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32))))))
17.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
17.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
54.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
46.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
31.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
0.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #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))))
17.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
28.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
56.9%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
37.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
20.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
46.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
19.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
50.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
25.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
0.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
27.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
25.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 3 648 to 2 272 computations (37.7% saved)

simplify172.0ms (1.4%)

Memory
18.0MiB live, 244.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
cost-diff64
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
cost-diff448
(+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Rules
17 158×lower-fma.f64
17 150×lower-fma.f32
2 886×lower-*.f64
2 856×lower-*.f32
2 762×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053731
089669
1178665
2454648
31509648
45516648
57123648
08219636
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
#s(literal 1 binary32)
(+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 #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
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (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 (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(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(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(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(literal 1 binary32)
(+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux #s(literal 1 binary32)))
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
ux
(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)
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) ux)
(neg.f32 ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.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))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 #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

localize215.0ms (1.7%)

Memory
-29.0MiB live, 204.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30859375
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
accuracy0.375
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
accuracy0.39453125
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy3.0304580310927807
(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)))
accuracy0.375
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
accuracy0.39453125
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy3.0095543606006427
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy7.814987815984502
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy1.1466277446487354
(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy1.2530774930954338
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy5.443846541221965
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
accuracy0.32421875
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy5.443846541221965
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy9.629584021294418
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy13.420563498022084
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
accuracy0.32421875
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy3.0095543606006427
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy5.443846541221965
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy7.814987815984502
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
Samples
171.0ms253×0valid
2.0ms1valid
Compiler

Compiled 625 to 46 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 70.0ms (46.3% of total)
ival-sub: 38.0ms (25.1% of total)
ival-add: 27.0ms (17.8% of total)
ival-sin: 6.0ms (4% of total)
ival-sqrt: 5.0ms (3.3% of total)
ival-pow2: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory
-28.2MiB live, 92.5MiB allocated
Counts
21 → 468
Calls
Call 1
Inputs
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())
#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (patch (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) #s(literal 2 binary32)) (patch (*.f32 (PI.f32) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())
#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) (patch (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (patch (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (patch (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())
#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (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))) (patch (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))) #<representation binary32>) () ())
Outputs
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) ux) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- ux (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 ux))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 2 ux) (taylor 0 maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux) (taylor 0 maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux) (taylor 0 maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux) (taylor 0 maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2)))) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2)))) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) ux)) (taylor inf maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux)) (taylor inf maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))) (taylor inf maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))) (taylor inf maxCos) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2))) (taylor 0 ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 2 (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 2 (* 2 maxCos))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- (* 2 maxCos) 2))) (taylor 0 ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) (taylor 0 ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) (taylor 0 ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))) (taylor 0 ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))) (taylor 0 ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))) (taylor 0 ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))) (taylor inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (- maxCos 1))) (taylor inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux)))))) (taylor -inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)))))) (taylor -inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)))))) (taylor -inf ux) (#s(alt (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (patch (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (pow (- maxCos 1) 2))) (taylor -inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2))))) (taylor -inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2))))) (taylor -inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2))))) (taylor -inf ux) (#s(alt (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))) (patch (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))) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
12.0ms
maxCos
@inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* uy (* 2 (sqrt (PI)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))))
4.0ms
maxCos
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* uy (* 2 (sqrt (PI)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))))
3.0ms
ux
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* uy (* 2 (sqrt (PI)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))))
3.0ms
maxCos
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* uy (* 2 (sqrt (PI)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))))
3.0ms
ux
@inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* uy (* 2 (sqrt (PI)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))))

simplify181.0ms (1.5%)

Memory
32.1MiB live, 348.0MiB allocated
Algorithm
egg-herbie
Rules
7 912×lower-fma.f64
7 912×lower-fma.f32
5 966×lower-*.f64
5 966×lower-*.f32
4 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084413362
1286412306
0830011766
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- (+ 1 (* -1 (* ux (- 1 ux)))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(* -1 (* ux (- 1 ux)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* -1 (* maxCos (pow ux 2)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (pow ux 2)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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1
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
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1
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1
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1
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* maxCos ux)
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(* -1 (* ux (pow (- maxCos 1) 2)))
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(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) 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))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
Outputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- (+ 1 (* -1 (* ux (- 1 ux)))) ux)
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) ux)
(-.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(-.f32 (fma.f32 (fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(-.f32 (fma.f32 (fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(- ux (* -1 (* ux (- 1 ux))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* ux (- 1 ux)))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(- 2 ux)
(-.f32 #s(literal 2 binary32) ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(fma.f32 (neg.f32 (fma.f32 maxCos ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) maxCos (-.f32 #s(literal 2 binary32) ux))
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(fma.f32 (neg.f32 (fma.f32 maxCos ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) maxCos (-.f32 #s(literal 2 binary32) ux))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.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 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.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 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(*.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(*.f32 (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(*.f32 (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 ux ux))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) ux) ux))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.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 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.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 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.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 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -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 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.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 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 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 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 ux ux))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) maxCos)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))) maxCos)) (neg.f32 maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.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 (/ (- (* -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))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.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 (/ (- (* -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) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
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(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* uy (sqrt (PI))))
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(* 2 (* uy (sqrt (PI))))
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(* 2 (* uy (sqrt (PI))))
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(* 2 (* uy (sqrt (PI))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(sin (* 2 (* uy (PI))))
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(sin (* 2 (* uy (PI))))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* 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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 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 ux)
(neg.f32 ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(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)))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(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)))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(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 (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 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) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.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) (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 5 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (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 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (*.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))) ux)) ux)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (*.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))) ux)) ux)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
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(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))

rewrite259.0ms (2.1%)

Memory
-7.8MiB live, 237.0MiB allocated
Rules
4 606×lower-fma.f64
4 598×lower-fma.f32
4 054×lower-*.f64
4 034×lower-/.f64
4 034×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053372
089298
1341268
22876268
09862268
Stop Event
iter limit
node limit
iter limit
Counts
21 → 511
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.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 #s(literal 2 binary32)) ux))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(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)))
Outputs
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eval189.0ms (1.5%)

Memory
-15.4MiB live, 296.0MiB allocated
Compiler

Compiled 47 361 to 4 533 computations (90.4% saved)

prune110.0ms (0.9%)

Memory
2.0MiB live, 249.7MiB allocated
Pruning

64 alts after pruning (63 fresh and 1 done)

PrunedKeptTotal
New1 265361 301
Fresh262753
Picked415
Done000
Total1 295641 359
Accuracy
99.2%
Counts
1 359 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
60.4%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
57.0%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
18.0%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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))))))
40.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
77.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (*.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))))) ux))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
77.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
84.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
89.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
15.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) 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)) ux))))
76.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
72.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
23.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
60.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32)))))
60.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)))))))
60.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32))))))
17.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
0.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #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))))
17.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
14.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
63.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
37.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
20.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
46.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
25.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
25.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
50.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
50.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
25.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
24.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
54.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
75.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
28.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
36.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
0.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)))) ux))))
67.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
66.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
53.8%
#s(approx (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))))
90.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 3 592 to 2 447 computations (31.9% saved)

simplify184.0ms (1.5%)

Memory
35.6MiB live, 301.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (PI.f32) uy))
cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
cost-diff0
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
cost-diff416
(-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))
cost-diff704
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
cost-diff800
(-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
cost-diff64
(*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))))
cost-diff96
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
cost-diff64
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
Rules
17 978×lower-fma.f64
17 970×lower-fma.f32
3 728×lower-*.f64
3 680×lower-*.f32
2 962×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881082
01451070
12831057
26971003
32351956
46019940
08276887
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))
(*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
(-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)))
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
(*.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))
maxCos
#s(literal 1 binary32)
ux
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))
(*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)
#s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32))
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))
(*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)
(*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))))
(fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32))
(*.f32 maxCos maxCos)
maxCos
#s(literal 4 binary32)
#s(literal -4 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
#s(literal -2 binary32)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))
#s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
(-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)))
(/.f32 (/.f32 ux maxCos) maxCos)
(/.f32 ux maxCos)
ux
maxCos
(-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))
(-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(/.f32 (*.f32 ux ux) maxCos)
(*.f32 ux ux)
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(*.f32 maxCos maxCos)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
#s(literal 2 binary32)
(*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
(sin.f32 (*.f32 (PI.f32) uy))
(*.f32 (PI.f32) uy)
(PI.f32)
uy
(cos.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 #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
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #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) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
(*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(-.f32 #s(literal 2 binary32) (-.f32 (*.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) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
(-.f32 (*.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 (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))
maxCos
#s(literal 1 binary32)
ux
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))
(*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)
#s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32))
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (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 (/.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (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 (/.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32))))
(*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)
(*.f32 (/.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32)))
(*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))
(fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32))
(fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32))
(*.f32 maxCos maxCos)
maxCos
#s(literal 4 binary32)
#s(literal -4 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (+.f32 maxCos #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
#s(literal -2 binary32)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (-.f32 ux (/.f32 ux maxCos)) (/.f32 ux maxCos)) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (-.f32 ux (/.f32 ux maxCos)) (/.f32 ux maxCos)) ux)))
#s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (-.f32 ux (/.f32 ux maxCos)) (/.f32 ux maxCos)) ux))
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
(fma.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (-.f32 ux (/.f32 ux maxCos)) (/.f32 ux maxCos)) ux)
(-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)))
(-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (-.f32 ux (/.f32 ux maxCos)) (/.f32 ux maxCos)))
(/.f32 (/.f32 ux maxCos) maxCos)
(/.f32 ux maxCos)
ux
maxCos
(-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))
(fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (-.f32 ux (/.f32 ux maxCos)) (/.f32 ux maxCos))
(-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (+.f32 ux ux) (*.f32 ux ux))
(fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))
(fma.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux (/.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(/.f32 (*.f32 ux ux) maxCos)
(*.f32 (/.f32 ux maxCos) ux)
(*.f32 ux ux)
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)
(*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos) ux)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(*.f32 maxCos maxCos)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 (*.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))) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))
#s(literal 2 binary32)
(*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
(*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))
(sin.f32 (*.f32 (PI.f32) uy))
(*.f32 (PI.f32) uy)
(PI.f32)
uy
(cos.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 #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

localize292.0ms (2.4%)

Memory
-16.7MiB live, 339.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.32421875
(*.f32 (PI.f32) uy)
accuracy0.46856062860980974
(PI.f32)
accuracy2.6824488332436274
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy7.647780866054884
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy0.46856062860980974
(PI.f32)
accuracy5.425706477980657
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy15.06674833665458
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
accuracy22.59023663685606
(fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))
accuracy2.472634016576804
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
accuracy5.425706477980657
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy7.647780866054884
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))
accuracy24.043415750284808
(fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32))
accuracy0.46856062860980974
(PI.f32)
accuracy2.6824488332436274
#s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32))
accuracy5.425706477980657
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy7.647780866054884
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))
accuracy0.30078125
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
accuracy0.37109375
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
accuracy0.38671875
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.46856062860980974
(PI.f32)
Samples
219.0ms250×0valid
6.0ms5exit
2.0ms1valid
Compiler

Compiled 799 to 76 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 107.0ms (54.5% of total)
ival-add: 33.0ms (16.8% of total)
ival-div: 19.0ms (9.7% of total)
ival-sub: 9.0ms (4.6% of total)
ival-sin: 9.0ms (4.6% of total)
ival-sqrt: 8.0ms (4.1% of total)
adjust: 3.0ms (1.5% of total)
ival-pow2: 2.0ms (1% of total)
ival-cos: 2.0ms (1% of total)
ival-pi: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.7%)

Memory
18.6MiB live, 137.1MiB allocated
Counts
30 → 552
Calls
Call 1
Inputs
#s(alt (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) (patch (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (patch (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())
#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (patch (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) #s(literal 2 binary32)) (patch (*.f32 (PI.f32) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())
#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (patch (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (patch (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (PI.f32) uy)) (patch (sin.f32 (*.f32 (PI.f32) uy)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (patch (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (patch (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) uy) (patch (*.f32 (PI.f32) uy) #<representation binary32>) () ())
Outputs
#s(alt ux (taylor 0 maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos (+ 2 (* -2 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux))))) (taylor 0 maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux))))) (taylor 0 maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt -1/2 (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 maxCos) 1/2) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* maxCos (+ 1/2 (* -1/2 maxCos))) 1/2) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* maxCos (+ 1/2 (* maxCos (- (* 1/2 maxCos) 1/2)))) 1/2) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ ux (* ux (- 1 ux))) (pow ux 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* ux (- 1 ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (+ (* maxCos (- (pow ux 2) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (+ (* maxCos (- (+ (* -1 (* maxCos (pow ux 2))) (pow ux 2)) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (+ (* maxCos (- (+ (* -1 (* maxCos (pow ux 2))) (pow ux 2)) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* maxCos (- (+ ux (* ux (- 1 ux))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* maxCos (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* maxCos (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
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#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) ux) (taylor inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (* 2 (/ 1 maxCos))))) (taylor inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))) (taylor inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))) (taylor inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/2 (/ 1 maxCos)) 1/2) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/2 (/ 1 maxCos)) (+ 1/2 (/ 1/2 (pow maxCos 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/2 (/ 1 maxCos)) (* 1/2 (/ 1 (pow maxCos 3)))) (+ 1/2 (/ 1/2 (pow maxCos 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos)) (taylor inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos)) (taylor inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos)) (taylor inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (+ (/ ux (pow maxCos 2)) (+ (/ (* ux (- 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos)))) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (+ (/ ux (pow maxCos 2)) (+ (/ (* ux (- 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos)))) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos)) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (/ (pow ux 2) maxCos)) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (/ (pow ux 2) maxCos)) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) (patch #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 4 (pow maxCos 2)) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (patch (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (patch (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (patch (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (patch (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos))))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos))))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos))))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf maxCos) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) ux) (taylor -inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ ux (* -1 (/ (- (* 2 ux) 2) maxCos)))) (taylor -inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos)))) (taylor -inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos)))) (taylor -inf maxCos) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 maxCos) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))) maxCos))) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor -inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) (patch (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (- (* -1 (pow ux 2)) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ ux (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ ux (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (/ (* ux (- 1 ux)) maxCos))) (* -1 (pow ux 2))) maxCos)) (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (/ (* ux (- 1 ux)) maxCos))) (* -1 (pow ux 2))) maxCos)) (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (taylor 0 uy) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (taylor 0 uy) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (taylor 0 uy) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))) (taylor 0 uy) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (patch (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (patch (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) #<representation binary32>) () ())) ())
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#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* 2 (/ ux maxCos)) (taylor 0 ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos)))) (taylor 0 ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos)))) (taylor 0 ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos)))) (taylor 0 ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (taylor 0 ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))) (taylor 0 ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))) (taylor 0 ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))) (taylor 0 ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (* 2 (/ 1 maxCos)) (/ 1 (pow maxCos 2)))) (taylor 0 ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (/ 1 (pow maxCos 2)))) (taylor 0 ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (/ 1 (pow maxCos 2)))) (taylor 0 ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (/ 1 (pow maxCos 2)))) (taylor 0 ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))) (taylor 0 ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4)))))))) (taylor 0 ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6)))))))))) (taylor 0 ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 2 (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 2 (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
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#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
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#s(alt (* ux (- 2 (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) (taylor 0 ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (* 2 (/ 1 maxCos)))) (taylor inf ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos)))) (taylor inf ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos)))) (taylor inf ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos)))) (taylor inf ux) (#s(alt (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (patch (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) (taylor inf ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (patch (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))) (taylor inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 maxCos))) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos))) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos))) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos))) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (pow (- maxCos 1) 2)) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) (patch (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2))))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) (patch (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (- (/ 1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux))))) (taylor -inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux))))) (taylor -inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux))))) (taylor -inf ux) (#s(alt (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (patch (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (patch #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
maxCos
@0
((* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (/ 1 (+ (* -2 maxCos) -2)) (* (+ (* (* maxCos maxCos) 4) -4) (/ 1 (+ (* -2 maxCos) -2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (sin (* (PI) uy)) (PI) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* maxCos maxCos) 4) -4) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) -2) (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (PI) uy))
8.0ms
ux
@inf
((* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (/ 1 (+ (* -2 maxCos) -2)) (* (+ (* (* maxCos maxCos) 4) -4) (/ 1 (+ (* -2 maxCos) -2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (sin (* (PI) uy)) (PI) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* maxCos maxCos) 4) -4) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) -2) (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (PI) uy))
8.0ms
maxCos
@-inf
((* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (/ 1 (+ (* -2 maxCos) -2)) (* (+ (* (* maxCos maxCos) 4) -4) (/ 1 (+ (* -2 maxCos) -2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (sin (* (PI) uy)) (PI) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* maxCos maxCos) 4) -4) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) -2) (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (PI) uy))
4.0ms
ux
@-inf
((* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (/ 1 (+ (* -2 maxCos) -2)) (* (+ (* (* maxCos maxCos) 4) -4) (/ 1 (+ (* -2 maxCos) -2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (sin (* (PI) uy)) (PI) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* maxCos maxCos) 4) -4) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) -2) (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (PI) uy))
4.0ms
ux
@0
((* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (/ 1 (+ (* -2 maxCos) -2)) (* (+ (* (* maxCos maxCos) 4) -4) (/ 1 (+ (* -2 maxCos) -2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (sin (* (PI) uy)) (PI) (* uy (* 2 (sqrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* maxCos maxCos) 4) -4) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) -2) (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (PI) uy))

simplify544.0ms (4.4%)

Memory
-92.4MiB live, 273.2MiB allocated
Algorithm
egg-herbie
Rules
8 052×lower-*.f64
8 052×lower-*.f32
7 294×lower-fma.f64
7 294×lower-fma.f32
4 616×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111214607
1386614198
0861513608
Stop Event
iter limit
node limit
Counts
552 → 551
Calls
Call 1
Inputs
ux
(+ ux (* maxCos (+ 2 (* -2 ux))))
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
-1/2
(- (* 1/2 maxCos) 1/2)
(- (* maxCos (+ 1/2 (* -1/2 maxCos))) 1/2)
(- (* maxCos (+ 1/2 (* maxCos (- (* 1/2 maxCos) 1/2)))) 1/2)
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(/ (- (+ ux (* ux (- 1 ux))) (pow ux 2)) maxCos)
(/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos)
(/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos)
(/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos)
(+ ux (* ux (- 1 ux)))
(+ ux (+ (* maxCos (- (pow ux 2) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux))))
(+ ux (+ (* maxCos (- (+ (* -1 (* maxCos (pow ux 2))) (pow ux 2)) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux))))
(+ ux (+ (* maxCos (- (+ (* -1 (* maxCos (pow ux 2))) (pow ux 2)) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux))))
(* -1 (/ (* ux (- 1 ux)) (pow maxCos 2)))
(/ (- (* maxCos (- (+ ux (* ux (- 1 ux))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2))
(/ (- (* maxCos (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2))
(/ (- (* maxCos (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* -2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* 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 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
-4
(- (* 4 (pow maxCos 2)) 4)
(- (* 4 (pow maxCos 2)) 4)
(- (* 4 (pow maxCos 2)) 4)
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
-2
(- (* -2 maxCos) 2)
(- (* -2 maxCos) 2)
(- (* -2 maxCos) 2)
(/ (+ ux (* ux (- 1 ux))) maxCos)
(/ (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) maxCos)
(/ (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) maxCos)
(/ (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) maxCos)
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(* (pow maxCos 2) ux)
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(/ -1/2 maxCos)
(/ (- (* 1/2 (/ 1 maxCos)) 1/2) maxCos)
(/ (- (* 1/2 (/ 1 maxCos)) (+ 1/2 (/ 1/2 (pow maxCos 2)))) maxCos)
(/ (- (+ (* 1/2 (/ 1 maxCos)) (* 1/2 (/ 1 (pow maxCos 3)))) (+ 1/2 (/ 1/2 (pow maxCos 2)))) maxCos)
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(pow ux 2)
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos))))
(* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (+ (/ ux (pow maxCos 2)) (+ (/ (* ux (- 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos)))) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos))))
(* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (+ (/ ux (pow maxCos 2)) (+ (/ (* ux (- 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos)))) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos))))
(pow ux 2)
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (/ (pow ux 2) maxCos))
(- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (/ (pow ux 2) maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* 4 (pow maxCos 2))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -2 maxCos)
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(pow ux 2)
(+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) ux)
(* (pow maxCos 2) (+ ux (* -1 (/ (- (* 2 ux) 2) maxCos))))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(/ -1/2 maxCos)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))) maxCos))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))) maxCos))) maxCos))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(pow ux 2)
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (* -1 (pow ux 2)) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ ux (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ ux (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2))))
(pow ux 2)
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(+ (* -1 (/ (- (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (/ (* ux (- 1 ux)) maxCos))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(+ (* -1 (/ (- (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (/ (* ux (- 1 ux)) maxCos))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* ux (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) maxCos)) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* 4 (pow maxCos 2))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -2 maxCos)
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(pow ux 2)
(+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* uy (PI))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* uy (PI))
(* uy (+ (PI) (* -1/6 (* (pow uy 2) (pow (PI) 3)))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* -1/5040 (* (pow uy 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(* 2 (* uy (sqrt (PI))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* 2 (/ ux maxCos))
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(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (- (* 2 (/ 1 maxCos)) (/ 1 (pow maxCos 2))))
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(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
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(* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))
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(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6))))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
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(* 2 (/ ux maxCos))
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(* ux (+ (* ux (- 1 (/ 1 maxCos))) (* 2 (/ 1 maxCos))))
(* ux (+ (* ux (- 1 (/ 1 maxCos))) (* 2 (/ 1 maxCos))))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (pow (- maxCos 1) 2))
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(* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- 1 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (pow (- maxCos 1) 2))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (- (* -1 (- (/ 1 maxCos) 1)) (/ 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(* (pow maxCos 2) (* (pow ux 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (+ (* -1 (/ (- (/ 1 (pow maxCos 2)) (* 2 (/ 1 maxCos))) ux)) (/ 1 (pow maxCos 2)))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (+ (* -1 (/ (- (/ 1 (pow maxCos 2)) (* 2 (/ 1 maxCos))) ux)) (/ 1 (pow maxCos 2)))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (+ (* -1 (/ (- (/ 1 (pow maxCos 2)) (* 2 (/ 1 maxCos))) ux)) (/ 1 (pow maxCos 2)))) (/ 1 maxCos)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 2) (- (/ 1 maxCos) 1)))
(* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))))
(* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))))
(* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
Outputs
ux
(+ ux (* maxCos (+ 2 (* -2 ux))))
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos ux)
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(fma.f32 (fma.f32 ux (+.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) maxCos ux)
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(fma.f32 (fma.f32 ux (+.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) maxCos ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
-1/2
#s(literal -1/2 binary32)
(- (* 1/2 maxCos) 1/2)
(fma.f32 #s(literal 1/2 binary32) maxCos #s(literal -1/2 binary32))
(- (* maxCos (+ 1/2 (* -1/2 maxCos))) 1/2)
(fma.f32 (fma.f32 #s(literal -1/2 binary32) maxCos #s(literal 1/2 binary32)) maxCos #s(literal -1/2 binary32))
(- (* maxCos (+ 1/2 (* maxCos (- (* 1/2 maxCos) 1/2)))) 1/2)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) maxCos #s(literal -1/2 binary32)) maxCos #s(literal 1/2 binary32)) maxCos #s(literal -1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(/ (- (+ ux (* ux (- 1 ux))) (pow ux 2)) maxCos)
(/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos)
(/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos)
(/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)
(/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos)
(/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)
(/ (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2)) maxCos)
(/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)
(+ ux (* ux (- 1 ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)
(+ ux (+ (* maxCos (- (pow ux 2) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux))))
(+.f32 (fma.f32 (-.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(+ ux (+ (* maxCos (- (+ (* -1 (* maxCos (pow ux 2))) (pow ux 2)) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux))))
(+.f32 (fma.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(+ ux (+ (* maxCos (- (+ (* -1 (* maxCos (pow ux 2))) (pow ux 2)) (+ ux (* ux (- 1 ux))))) (* ux (- 1 ux))))
(+.f32 (fma.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(* -1 (/ (* ux (- 1 ux)) (pow maxCos 2)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos))
(/ (- (* maxCos (- (+ ux (* ux (- 1 ux))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2))
(/.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos))
(/ (- (* maxCos (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2))
(/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos))
(/ (- (* maxCos (- (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow ux 2))) (* ux (- 1 ux))) (pow maxCos 2))
(/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) (*.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) #s(literal 1/4 binary32) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) #s(literal 1/4 binary32) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) #s(literal 1/4 binary32) (*.f32 ux ux)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) #s(literal 3 binary32)))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #s(literal 2 binary32))
(+ (* -2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))))
(fma.f32 (*.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(fma.f32 (-.f32 (*.f32 (*.f32 ux (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -2 binary32)) (*.f32 maxCos (*.f32 (*.f32 (*.f32 (sin.f32 (*.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))) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* 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 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (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 (neg.f32 (fma.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (cos.f32 (*.f32 (PI.f32) uy)))) (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 (sin.f32 (*.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))) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (*.f32 ux (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -2 binary32))) maxCos (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* 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)))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
-4
#s(literal -4 binary32)
(- (* 4 (pow maxCos 2)) 4)
(fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32))
(- (* 4 (pow maxCos 2)) 4)
(fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32))
(- (* 4 (pow maxCos 2)) 4)
(fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* 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)))
-2
#s(literal -2 binary32)
(- (* -2 maxCos) 2)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
(- (* -2 maxCos) 2)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
(- (* -2 maxCos) 2)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
(/ (+ ux (* ux (- 1 ux))) maxCos)
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) maxCos)
(/ (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) maxCos)
(/.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)
(/ (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) maxCos)
(/.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)
(/ (+ ux (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) maxCos)
(/.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)
(- 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 (* 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)))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (pow maxCos 2) ux)
(*.f32 (*.f32 maxCos maxCos) ux)
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (* 2 (/ 1 maxCos)))))
(*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))) ux) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.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 (*.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 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))))) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.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 (*.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 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))))) maxCos)
(/ -1/2 maxCos)
(/.f32 #s(literal -1/2 binary32) maxCos)
(/ (- (* 1/2 (/ 1 maxCos)) 1/2) maxCos)
(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) maxCos) #s(literal 1/2 binary32)) maxCos)
(/ (- (* 1/2 (/ 1 maxCos)) (+ 1/2 (/ 1/2 (pow maxCos 2)))) maxCos)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) maxCos) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos))) maxCos)
(/ (- (+ (* 1/2 (/ 1 maxCos)) (* 1/2 (/ 1 (pow maxCos 3)))) (+ 1/2 (/ 1/2 (pow maxCos 2)))) maxCos)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) maxCos)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32))) maxCos)
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.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 (*.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 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))))) maxCos)
(pow ux 2)
(*.f32 ux ux)
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux ux)) (fma.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (+ (/ ux (pow maxCos 2)) (+ (/ (* ux (- 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos)))) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos))))
(*.f32 (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 ux (*.f32 maxCos maxCos))) (*.f32 ux ux)) (fma.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (pow ux 2)) (+ (/ ux (pow maxCos 2)) (+ (/ (* ux (- 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos)))) (+ (/ ux maxCos) (/ (* ux (- 1 ux)) maxCos))))
(*.f32 (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 ux (*.f32 maxCos maxCos))) (*.f32 ux ux)) (fma.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(pow ux 2)
(*.f32 ux ux)
(- (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (/ (pow ux 2) maxCos))
(-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (/ (pow ux 2) maxCos))
(-.f32 (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos))) (/.f32 (*.f32 ux ux) maxCos))
(- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (/ (pow ux 2) maxCos))
(-.f32 (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos))) (/.f32 (*.f32 ux ux) maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32))))) maxCos)
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(*.f32 (*.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 ux (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (/.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))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (*.f32 maxCos maxCos))))) maxCos)
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (fma.f32 (/.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 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 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))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (*.f32 maxCos maxCos)))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* 4 (pow maxCos 2))
(*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))
(pow ux 2)
(*.f32 ux ux)
(+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos))
(+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos))
(+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* (pow maxCos 2) ux)
(*.f32 (*.f32 maxCos maxCos) ux)
(* (pow maxCos 2) (+ ux (* -1 (/ (- (* 2 ux) 2) maxCos))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (neg.f32 (*.f32 maxCos ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.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 (*.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))))) maxCos)) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (neg.f32 (*.f32 maxCos ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.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 (*.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))))) maxCos)) maxCos)))
(/ -1/2 maxCos)
(/.f32 #s(literal -1/2 binary32) maxCos)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) maxCos)) (neg.f32 maxCos))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))) maxCos))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) maxCos)) maxCos)) (neg.f32 maxCos))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 maxCos))) maxCos))) maxCos))) maxCos))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) maxCos)) maxCos)) maxCos)) (neg.f32 maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (neg.f32 (*.f32 maxCos ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.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 (*.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))))) maxCos)) maxCos)))
(pow ux 2)
(*.f32 ux ux)
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (- (* -1 (pow ux 2)) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (neg.f32 (-.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ ux (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) maxCos))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ ux (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))) (+ (* -1 ux) (* -1 (* ux (- 1 ux))))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) maxCos))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux))) maxCos))) (*.f32 maxCos maxCos))
(pow ux 2)
(*.f32 ux ux)
(+ (* -1 (/ (- (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))
(+ (* -1 (/ (- (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (/ (* ux (- 1 ux)) maxCos))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos))
(+ (* -1 (/ (- (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (/ (* ux (- 1 ux)) maxCos))) (* -1 (pow ux 2))) maxCos)) (pow ux 2))
(-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (neg.f32 (*.f32 maxCos ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) ux) (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))) maxCos)) (neg.f32 maxCos))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(*.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal -2 binary32))
(* -1 (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* ux (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) (/.f32 (fma.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) uy)) (*.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)))) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) maxCos)) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) (/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 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)) maxCos) (/.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))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.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 (/ (- (* -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))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* 4 (pow maxCos 2))
(*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- 4 (* 4 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.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 (/ (- (* -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))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))
(* -1 (* maxCos (+ 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))
(pow ux 2)
(*.f32 ux ux)
(+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) maxCos))
(+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) maxCos))
(+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux 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 (/ (- (* -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 (/ (- (* -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))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 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 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
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(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
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(* uy (+ (PI) (* (pow uy 2) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* -1/5040 (* (pow uy 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
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(* 2 (* uy (sqrt (PI))))
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(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* 2 (/ ux maxCos))
(*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))
(* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) ux)
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(*.f32 (*.f32 (*.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux)
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
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(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
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(* ux (- (* 2 (/ 1 maxCos)) (/ 1 (pow maxCos 2))))
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(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (/ 1 (pow maxCos 2))))
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(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (/ 1 (pow maxCos 2))))
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(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))) (/ 1 (pow maxCos 2))))
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(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(+ (* -1 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))))
(fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 (PI.f32) uy))) (neg.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))))))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 #s(literal -1/8 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 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))) (*.f32 ux ux) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (-.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 (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- 2 (* 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)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* 2 (/ ux maxCos))
(*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))
(* ux (+ (* ux (- 1 (/ 1 maxCos))) (* 2 (/ 1 maxCos))))
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(* ux (+ (* ux (- 1 (/ 1 maxCos))) (* 2 (/ 1 maxCos))))
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(* ux (+ (* ux (- 1 (/ 1 maxCos))) (* 2 (/ 1 maxCos))))
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(* ux (- 2 (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (pow (- maxCos 1) 2))
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(* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
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(* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(*.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos)) ux)) (*.f32 ux ux))
(* (pow ux 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 ux ux))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (/.f32 #s(literal 2 binary32) maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (/.f32 #s(literal 2 binary32) maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (/.f32 #s(literal 2 binary32) maxCos))) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (PI.f32) uy))))) ux)
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 ux ux)) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (PI.f32) uy)))))) ux)
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 ux ux)) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.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 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (PI.f32) uy))))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- 1 (/ 1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (/ 1 maxCos)))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (pow (- maxCos 1) 2))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 ux))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) ux)) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 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)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (*.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))) ux)) ux)) (neg.f32 ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 ux))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* (pow maxCos 2) (* (pow ux 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2))))))
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(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2)))))))
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(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2)))))))
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(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (/ 1 maxCos) (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2)))))))
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(* (pow ux 2) (- (+ (* -1 (- (/ 1 maxCos) 1)) (/ 1 (pow maxCos 2))) (/ 1 maxCos)))
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(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
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(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) ux) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) (*.f32 (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) maxCos)))) ux)) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) ux) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32))) ux))) ux)) (neg.f32 ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (- (/ 1 maxCos) 1)))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (- (/ 1 maxCos) 1)) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))

rewrite193.0ms (1.6%)

Memory
11.2MiB live, 244.9MiB allocated
Rules
4 796×lower-*.f64
4 750×lower-*.f32
4 310×lower-fma.f64
4 302×lower-fma.f32
2 268×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088550
0145506
1559437
25268437
08178424
Stop Event
iter limit
node limit
iter limit
Counts
30 → 538
Calls
Call 1
Inputs
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))
(*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos))
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
(-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
(sin.f32 (*.f32 (PI.f32) uy))
(PI.f32)
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))
#s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32))
(fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))
(fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 (PI.f32) uy)
Outputs
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eval196.0ms (1.6%)

Memory
7.8MiB live, 421.4MiB allocated
Compiler

Compiled 53 939 to 5 446 computations (89.9% saved)

prune188.0ms (1.5%)

Memory
-0.0MiB live, 561.3MiB allocated
Pruning

95 alts after pruning (93 fresh and 2 done)

PrunedKeptTotal
New1 397461 443
Fresh114758
Picked415
Done011
Total1 412951 507
Accuracy
99.7%
Counts
1 507 → 95
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
58.2%
(*.f32 (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))
58.1%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (*.f32 (cos.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 #s(literal 2 binary32)) ux)))))
29.5%
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 (PI.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 #s(literal 2 binary32)) ux))))
72.9%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
57.9%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(approx (sin (* (PI) uy)) (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
60.4%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
57.0%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
18.0%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
97.7%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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))))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
96.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
57.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))) ux) (*.f32 maxCos maxCos)))) ux))))
77.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
84.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
89.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
76.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
72.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
23.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
60.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32)))))
17.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
17.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.5%
(*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
82.3%
(*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
27.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
27.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
27.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
27.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
27.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
27.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
1.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
63.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
63.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
37.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
20.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
46.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
25.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
25.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
50.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
50.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
25.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
47.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
24.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
54.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
75.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
27.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
40.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
41.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
35.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
40.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
42.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos)))))
41.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)))))
35.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
16.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos)))))
35.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos)))) (*.f32 maxCos maxCos)))))
32.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
14.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
16.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
31.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
31.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
0.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
67.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)))) ux))))
67.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
64.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ (* -2 maxCos) -2) (*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))) ux))))
28.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(approx (+ (* (* maxCos maxCos) 4) -4) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
66.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
63.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
38.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
73.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
53.8%
#s(approx (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))))
90.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 7 127 to 2 744 computations (61.5% saved)

regimes511.0ms (4.1%)

Memory
20.9MiB live, 782.1MiB allocated
Counts
156 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (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 #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (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))))))
#s(approx (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (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 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (*.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (+.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))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (*.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 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
Calls

11 calls:

67.0ms
(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)))))
56.0ms
(*.f32 uy #s(literal 2 binary32))
45.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
45.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
44.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
98.5%1ux
98.5%1uy
98.5%1maxCos
98.5%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
98.5%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.5%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.5%1(*.f32 uy #s(literal 2 binary32))
98.5%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
98.5%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
98.5%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes406.0ms (3.3%)

Memory
-6.9MiB live, 546.4MiB allocated
Counts
115 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(approx (sin (* (PI) uy)) (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.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 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 (PI.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 #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))) ux) (*.f32 maxCos maxCos)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (*.f32 (cos.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 #s(literal 2 binary32)) ux)))))
(*.f32 (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
Calls

11 calls:

60.0ms
maxCos
55.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
36.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
35.0ms
ux
33.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
94.4%1ux
94.4%1uy
94.4%1maxCos
94.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
94.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
94.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
94.4%1(*.f32 uy #s(literal 2 binary32))
94.4%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)))))
94.4%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))))
94.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
94.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes331.0ms (2.7%)

Memory
5.6MiB live, 478.7MiB allocated
Counts
97 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(approx (+ (* (* maxCos maxCos) 4) -4) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(approx (sin (* (PI) uy)) (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.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 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 (PI.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 #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
Outputs
(*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
Calls

11 calls:

41.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
37.0ms
(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)))))
34.0ms
uy
29.0ms
ux
28.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
96.4%2maxCos
90.4%1ux
90.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
90.4%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)))))
90.4%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))))
96.5%2uy
93.6%2(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
96.5%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
96.5%2(*.f32 uy #s(literal 2 binary32))
90.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
90.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes91.0ms (0.7%)

Memory
15.2MiB live, 169.4MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ (* -2 maxCos) -2) (*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(approx (+ (* (* maxCos maxCos) 4) -4) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(approx (sin (* (PI) uy)) (*.f32 (PI.f32) uy)) (cos.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 #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.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 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
Outputs
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos)))))
Calls

4 calls:

24.0ms
maxCos
23.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
20.0ms
(*.f32 uy #s(literal 2 binary32))
20.0ms
uy
Results
AccuracySegmentsBranch
96.4%2maxCos
90.4%1uy
90.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
90.4%1(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes22.0ms (0.2%)

Memory
11.2MiB live, 49.3MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
Outputs
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
Calls

1 calls:

19.0ms
maxCos
Results
AccuracySegmentsBranch
94.5%2maxCos
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes217.0ms (1.8%)

Memory
23.6MiB live, 404.3MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ (* -2 maxCos) -2) (*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(approx (+ (* (* maxCos maxCos) 4) -4) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (*.f32 ux ux)) maxCos))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Calls

11 calls:

26.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
23.0ms
uy
22.0ms
ux
19.0ms
(*.f32 uy #s(literal 2 binary32))
19.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
82.3%2ux
82.3%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
82.3%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
84.7%2uy
83.7%3(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
84.7%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
84.7%2(*.f32 uy #s(literal 2 binary32))
82.3%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
82.3%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
82.7%2(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
80.4%2maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes200.0ms (1.6%)

Memory
-35.3MiB live, 458.1MiB allocated
Counts
63 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ (* -2 maxCos) -2) (*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(approx (+ (* (* maxCos maxCos) 4) -4) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
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))))
19.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
17.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
17.0ms
ux
17.0ms
maxCos
Results
AccuracySegmentsBranch
80.4%2maxCos
75.8%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
75.8%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)))))
75.8%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))))
75.8%1ux
75.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
75.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
75.8%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
75.8%1uy
75.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
75.8%1(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes21.0ms (0.2%)

Memory
6.5MiB live, 48.4MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (+.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (-.f32 (*.f32 ux ux) (/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 ux ux)) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))))
Calls

1 calls:

18.0ms
maxCos
Results
AccuracySegmentsBranch
80.0%2maxCos
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.1%)

Memory
3.0MiB live, 41.7MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ (* -2 maxCos) -2) (*.f32 (neg.f32 maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(approx (+ (* (* maxCos maxCos) 4) -4) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (neg.f32 maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) #s(approx (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux)))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
Calls

1 calls:

16.0ms
maxCos
Results
AccuracySegmentsBranch
79.0%2maxCos
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
-12.9MiB live, 26.0MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal -2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
Calls

1 calls:

10.0ms
maxCos
Results
AccuracySegmentsBranch
79.0%2maxCos
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
-9.8MiB live, 29.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (*.f32 uy #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
Calls

3 calls:

4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
4.0ms
maxCos
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
75.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
75.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
75.8%1maxCos
Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes42.0ms (0.3%)

Memory
13.0MiB live, 54.9MiB allocated
Accuracy

Total -18.0b remaining (-153.9%)

Threshold costs -18b (-153.9%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) #s(approx (* (- (/ (/ ux maxCos) maxCos) (- (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (/ (/ (* (- 1 ux) ux) maxCos) maxCos))) (* maxCos maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Calls

11 calls:

12.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
3.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
3.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
3.0ms
(*.f32 uy #s(literal 2 binary32))
3.0ms
uy
Results
AccuracySegmentsBranch
63.4%1ux
63.4%1uy
63.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
63.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
63.4%1(*.f32 uy #s(literal 2 binary32))
63.4%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)))))
63.4%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))))
63.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
63.4%1maxCos
63.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
63.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00035854894667863846
0.00036134905531071126
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
3.515987827995559e-6
9.798859537113458e-6
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
3.515987827995559e-6
9.798859537113458e-6
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0010334975086152554
0.0010435167932882905
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.1916791164967577e-10
1.7526488593766487e-10
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.1916791164967577e-10
1.7526488593766487e-10
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.0969849427056033e-5
1.1981773241132032e-5
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.0969849427056033e-5
1.1981773241132032e-5
Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify101.0ms (0.8%)

Memory
-8.0MiB live, 68.4MiB allocated
Algorithm
egg-herbie
Rules
610×unsub-neg-binary32--.f32-neg.f32-+.f32
480×distribute-lft-neg-in-binary32-*.f32-neg.f32
402×neg-mul-1-binary32-*.f32-neg.f32
274×neg-sub0-binary32--.f32-neg.f32
266×cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661127
12501127
23381127
34501127
46511127
59181127
611161127
713941127
816431127
918081127
1019401127
1120391127
1220801127
1320931127
1420951127
1520951127
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 6184753/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(if (<=.f32 maxCos #s(literal 2748779/549755813888 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 2748779/549755813888 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2233383/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))))
(if (<=.f32 maxCos #s(literal 10808639/72057594037927936 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 10808639/72057594037927936 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 3023657/274877906944 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux)))))
(if (<=.f32 maxCos #s(literal 3023657/274877906944 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))) (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))) (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 6184753/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 6184753/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)))))
(if (<=.f32 maxCos #s(literal 2748779/549755813888 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (/.f32 ux maxCos) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 2748779/549755813888 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)))) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (+.f32 (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) ux))) (/.f32 ux maxCos)))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))))
(if (<=.f32 maxCos #s(literal 2748779/549755813888 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 2748779/549755813888 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)))) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2233383/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 2233383/2147483648 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))) #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))))))
(if (<=.f32 maxCos #s(literal 10808639/72057594037927936 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 10808639/72057594037927936 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 #s(approx (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))))
(if (<=.f32 maxCos #s(literal 10808639/72057594037927936 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))))))
(if (<=.f32 maxCos #s(literal 10808639/72057594037927936 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 #s(approx (- (+ (* ux (+ (/ (- 1 ux) maxCos) ux)) (/ ux maxCos)) (/ (* ux ux) maxCos)) (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))))
(if (<=.f32 maxCos #s(literal 3023657/274877906944 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux)))))
(if (<=.f32 maxCos #s(literal 3023657/274877906944 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))))
(if (<=.f32 maxCos #s(literal 3023657/274877906944 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(if (<=.f32 maxCos #s(literal 3023657/274877906944 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))

soundness1.5s (12.4%)

Memory
55.0MiB live, 987.5MiB allocated
Rules
12 866×lower-fma.f64
12 866×lower-fma.f32
10 194×lower-fma.f64
10 194×lower-fma.f32
8 052×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063450
0109404
1379368
23162354
08425334
088550
0145506
1559437
25268437
08178424
053372
089298
1341268
22876268
09862268
04192987
113692839
252502658
082292533
0111214607
1386614198
0861513608
054014314
1177613346
2645213245
0817512631
084413362
1286412306
0830011766
01675
02757
110357
284357
0921853
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 928 to 1 132 computations (41.3% saved)

preprocess90.0ms (0.7%)

Memory
-4.2MiB live, 237.0MiB allocated
Remove

(negabs uy)

Compiler

Compiled 1 258 to 486 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...