UniformSampleCone, y

Time bar (total: 11.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze219.0ms (1.9%)

Memory
14.1MiB live, 285.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
0%0%0.1%99.9%0%0%0%3
12.5%0%0.1%99.9%0%0%0%4
18.7%0%0.1%99.9%0%0%0%5
28.1%0%0.1%99.9%0%0%0%6
42.2%0%0.1%99.9%0%0%0%7
49.2%0%0%99.9%0%0%0%8
57.4%0.1%0%99.9%0%0%0%9
67%0.1%0%99.9%0%0%0%10
71.8%0.1%0%99.9%0%0%0%11
76.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 49 to 28 computations (42.9% saved)

sample2.1s (18.7%)

Memory
101.3MiB live, 2 181.9MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 394.0ms (35.7% of total)
const: 163.0ms (14.8% of total)
ival-sinu: 142.0ms (12.9% of total)
ival-<=: 142.0ms (12.9% of total)
ival-sub: 102.0ms (9.2% of total)
ival-sqrt: 63.0ms (5.7% of total)
ival-add: 48.0ms (4.3% of total)
ival-and: 34.0ms (3.1% of total)
exact: 12.0ms (1.1% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain284.0ms (2.5%)

Memory
-15.6MiB live, 302.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1819(0.0032983971759676933 1.7981566458047382e-8 0.011325662024319172)4(0.009298596531152725 5.4879163435828104e-9 5.819155921016339e-11)(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
10-1(3.478271764834062e-6 0.9893171787261963 2.370126304092837e-21)(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
00-0-(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
00-0-maxCos
00-0-(*.f32 ux maxCos)
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
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))))cancellation18612
Confusion
Predicted +Predicted -
+1803
-667
Precision
0.967741935483871
Recall
0.9836065573770492
Confusion?
Predicted +Predicted MaybePredicted -
+18030
-6958
Precision?
0.9242424242424242
Recall?
1.0
Freqs
test
numberfreq
070
1186
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
112.0ms508×0valid
1.0ms1valid
Compiler

Compiled 353 to 68 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sinu: 17.0ms (30.5% of total)
ival-mult: 15.0ms (26.9% of total)
ival-pi: 11.0ms (19.7% of total)
ival-sub: 5.0ms (9% of total)
ival-sqrt: 4.0ms (7.2% of total)
ival-add: 3.0ms (5.4% of total)
exact: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess282.0ms (2.5%)

Memory
17.3MiB live, 244.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064242
1212228
2724226
33470225
47333225
01625
02725
15125
213225
353525
4286623
5746123
0811021
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.9%
(*.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify276.0ms (2.4%)

Memory
3.9MiB live, 212.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016108
027108
151108
2132108
3535108
42866102
57461102
0811093
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

localize43.0ms (0.4%)

Memory
-1.7MiB live, 70.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.33984375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(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))))))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.40462875976844204
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy12.51220795228843
(-.f32 #s(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
32.0ms254×0valid
0.0ms1valid
Compiler

Compiled 218 to 34 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (29.3% of total)
ival-pi: 6.0ms (25.2% of total)
ival-sinu: 4.0ms (16.8% of total)
ival-sub: 2.0ms (8.4% of total)
ival-sqrt: 2.0ms (8.4% of total)
ival-add: 1.0ms (4.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
6 → 73
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(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
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 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 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (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))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (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)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (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))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (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) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (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) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
uy
@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
@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
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)))
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
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)))

simplify234.0ms (2.1%)

Memory
-25.3MiB live, 250.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192267
113692135
253441979
080971886
Stop Event
iter limit
node limit
Counts
73 → 73
Calls
Call 1
Inputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (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 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (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))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (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)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (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))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (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) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (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) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (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 #s(literal -2 binary32) maxCos #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 #s(literal -2 binary32) maxCos #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)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #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)))) (* (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 #s(literal -2 binary32) maxCos #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 #s(literal -2 binary32) maxCos #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 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(+ 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 (* (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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.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 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (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 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #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))))
(*.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* -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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))
(* -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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) (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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* 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))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (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))
(- 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 ux)
(-.f32 #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))))) 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 (-.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)))))) (* 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 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))))) 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)))
(* -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)))
(* 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 (* (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 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.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 maxCos ux) ux) 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) (- (* -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 (+ (* -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 (*.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))))) (neg.f32 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 (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))) (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 (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))) (neg.f32 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))

rewrite322.0ms (2.8%)

Memory
9.5MiB live, 324.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02757
110357
284357
0847653
Stop Event
iter limit
node limit
iter limit
Counts
6 → 608
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
(*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal -1 binary32))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.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 (/.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 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
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(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 maxCos ux) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 maxCos #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.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 maxCos maxCos) (*.f32 ux ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.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))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
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(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 maxCos ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 ux ux) (*.f32 maxCos maxCos) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 maxCos ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 maxCos ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 maxCos ux) (*.f32 maxCos ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 maxCos (*.f32 (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos (*.f32 (*.f32 ux ux) maxCos) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 ux (*.f32 (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 #s(literal 1 binary32) (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 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)))
(fma.f32 ux (*.f32 (*.f32 maxCos maxCos) ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (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))))
(pow.f32 (exp.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(+.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(+.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.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))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) uy)) (PI.f32))
(*.f32 (*.f32 #s(literal 1 binary32) uy) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))
(*.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 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) uy))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) uy))
(*.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)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.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)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) #s(literal 1 binary32))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) uy))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))

eval622.0ms (5.5%)

Memory
21.3MiB live, 244.6MiB allocated
Compiler

Compiled 38 628 to 4 044 computations (89.5% saved)

prune68.0ms (0.6%)

Memory
4.1MiB live, 164.7MiB allocated
Pruning

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New73448782
Fresh000
Picked101
Done000
Total73548783
Accuracy
95.8%
Counts
783 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.9%
(*.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))))))
59.8%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.5%
(*.f32 (sin.f32 (*.f32 (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))))))
59.8%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (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))))))
59.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 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))))))
59.8%
(*.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))))))
59.8%
(*.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))))))
16.2%
(*.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))))
18.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
23.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.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 (/.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)))))))
24.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
24.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
23.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
22.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
33.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
22.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
23.3%
(*.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))))))
23.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
20.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
19.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
22.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))))))
21.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
59.6%
(*.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))))))
21.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.9%
(*.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)))))))
21.3%
(*.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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))))))))
18.3%
(*.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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)))))))
59.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))))))))
58.6%
(*.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 #s(literal 1 binary32) ux))))))
60.6%
(*.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))))))
59.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.6%
(*.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)) #s(literal 1 binary32))))))
4.3%
(*.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))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
30.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.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))))))
60.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
21.3%
(*.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 maxCos ux) ux) maxCos)))))
46.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
29.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
22.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
33.2%
(*.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 (-.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)))))
3.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux))))
59.8%
(*.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))))))
59.8%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.6%
(*.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)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.5%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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))))))
50.6%
#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 3 778 to 2 106 computations (44.3% saved)

simplify123.0ms (1.1%)

Memory
7.8MiB live, 165.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))))
cost-diff0
(*.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))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff9792
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.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)))))))
cost-diff640
(+.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))))
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) (*.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-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-diff704
(*.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-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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063787
0109660
1207633
2466595
31827595
47224595
08127588
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) #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)
(*.f32 #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 (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)))))))
(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 (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 #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)))))
#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))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
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 ux (+.f32 #s(literal -1 binary32) maxCos))
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (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 2 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 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))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
uy
(*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
#s(literal 2 binary32)
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(cbrt.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
Outputs
(*.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 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32)) #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 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32)) #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 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32)) #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 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32)) #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 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32)) #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)
(*.f32 #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 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 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)))
(pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.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 (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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 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 (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))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.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 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
#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))))
(pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(*.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (-.f32 maxCos #s(literal 1 binary32))) ux)
(*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(+.f32 #s(literal -1 binary32) maxCos)
(-.f32 maxCos #s(literal 1 binary32))
#s(literal -1 binary32)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(cbrt.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 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 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)))
(pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize206.0ms (1.8%)

Memory
-29.1MiB live, 257.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33984375
(*.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))))))
accuracy0.40462875976844204
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy0.51171875
(*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
accuracy12.51220795228843
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.40462875976844204
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
accuracy12.51220795228843
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
accuracy28.27471018100649
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0.33984375
(*.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)))))))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.43053733564506597
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy12.51220795228843
(-.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)))))
accuracy0.38671875
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy0.40462875976844204
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy6.532534855349488
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy12.51220795228843
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.33984375
(*.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))))))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3984375
(*.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))
accuracy12.51220795228843
(-.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))))
Samples
121.0ms254×0valid
2.0ms1valid
Compiler

Compiled 1 485 to 118 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 27.0ms (38.1% of total)
ival-div: 8.0ms (11.3% of total)
ival-add: 7.0ms (9.9% of total)
ival-pow2: 7.0ms (9.9% of total)
ival-sub: 6.0ms (8.5% of total)
ival-sinu: 5.0ms (7.1% of total)
ival-sqrt: 5.0ms (7.1% of total)
ival-sin: 3.0ms (4.2% of total)
ival-cbrt: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (0.6%)

Memory
-7.9MiB live, 75.7MiB allocated
Counts
25 → 145
Calls
Call 1
Inputs
(+.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 (/.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 #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))))))
(+.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 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (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)))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.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))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(-.f32 #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)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 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 2 binary32))
(*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
Outputs
(/ 1 (pow ux 2))
(/ (+ 1 (* 2 (* ux (- maxCos 1)))) (pow ux 2))
(/ (+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))) (pow ux 2))
1
(+ 1 (* 2 (* ux (- maxCos 1))))
(+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))))
(* 2 (/ (- maxCos 1) ux))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(pow (- maxCos 1) 2)
(+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2))
(+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (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 (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 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)))
(* -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 (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) (/ 1 ux)) ux))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -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) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* 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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (cbrt (pow (PI) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(- (+ 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)))
(* (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)))))
(/ -2 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)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* -1 (* ux (- 1 ux)))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* maxCos (pow ux 2)) (* ux (- (+ 1 (* -1 ux)) ux))))))) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(- 1 (pow (- 1 ux) 2))
(- (+ 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))
(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))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(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) (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))))
(* 2 (/ 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)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))) (/ ux (pow maxCos 2))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 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 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* 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))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- (+ 1 (* -1 ux)) ux))) (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* 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 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -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 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
uy
@0
((+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 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))) (* (* (PI) 2) uy) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))) (* (sin (* (* uy 2) (PI))) (sqrt (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))))) (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI))) (* (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+ (* maxCos ux) (- 1 ux)) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* uy (* 2 (pow (cbrt (PI)) 2))))
6.0ms
ux
@-inf
((+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 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))) (* (* (PI) 2) uy) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))) (* (sin (* (* uy 2) (PI))) (sqrt (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))))) (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI))) (* (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+ (* maxCos ux) (- 1 ux)) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* uy (* 2 (pow (cbrt (PI)) 2))))
5.0ms
maxCos
@0
((+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 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))) (* (* (PI) 2) uy) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))) (* (sin (* (* uy 2) (PI))) (sqrt (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))))) (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI))) (* (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+ (* maxCos ux) (- 1 ux)) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* uy (* 2 (pow (cbrt (PI)) 2))))
4.0ms
maxCos
@-inf
((+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 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))) (* (* (PI) 2) uy) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))) (* (sin (* (* uy 2) (PI))) (sqrt (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))))) (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI))) (* (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+ (* maxCos ux) (- 1 ux)) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* uy (* 2 (pow (cbrt (PI)) 2))))
4.0ms
maxCos
@inf
((+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) (* (/ 2 ux) (- maxCos 1)) (* (sin (* (* uy 2) (PI))) (sqrt (- 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))) (* (* (PI) 2) uy) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))) (* (sin (* (* uy 2) (PI))) (sqrt (/ 1 (/ 1 (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)))))) (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI))) (* (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy (* 2 (pow (cbrt (PI)) 2))) (cbrt (PI)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+ (* maxCos ux) (- 1 ux)) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 2)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* uy (* 2 (pow (cbrt (PI)) 2))))

simplify202.0ms (1.8%)

Memory
21.9MiB live, 252.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07974862
126984418
093004217
Stop Event
iter limit
node limit
Counts
145 → 145
Calls
Call 1
Inputs
(/ 1 (pow ux 2))
(/ (+ 1 (* 2 (* ux (- maxCos 1)))) (pow ux 2))
(/ (+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))) (pow ux 2))
1
(+ 1 (* 2 (* ux (- maxCos 1))))
(+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))))
(* 2 (/ (- maxCos 1) ux))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(pow (- maxCos 1) 2)
(+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2))
(+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (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 (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 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)))
(* -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 (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) (/ 1 ux)) ux))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -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) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* 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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (cbrt (pow (PI) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(- (+ 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)))
(* (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)))))
(/ -2 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)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* -1 (* ux (- 1 ux)))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* maxCos (pow ux 2)) (* ux (- (+ 1 (* -1 ux)) ux))))))) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(- 1 (pow (- 1 ux) 2))
(- (+ 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))
(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))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(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) (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))))
(* 2 (/ 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)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))) (/ ux (pow maxCos 2))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 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 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* 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))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- (+ 1 (* -1 ux)) ux))) (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* 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 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -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 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
Outputs
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 (* 2 (* ux (- maxCos 1)))) (pow ux 2))
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32)) (*.f32 ux ux))
(/ (+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))) (pow ux 2))
(/.f32 (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)) (*.f32 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))
(* 2 (/ (- maxCos 1) ux))
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #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)))))))
(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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #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)))) (* (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 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (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 (*.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 ux ux))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 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))
(* 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 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) 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 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 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))))
(*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (*.f32 ux ux))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* 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 (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) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 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) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 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 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 (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 (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) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (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))))
(*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (*.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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 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))
(* (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))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (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) (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 (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) #s(literal 2 binary32)) uy))) (-.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 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.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))) (*.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) #s(literal 2 binary32)) uy))) (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) (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 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (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)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #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 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))))) ux)) (neg.f32 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) (/ 1 ux)) ux))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(*.f32 (neg.f32 (*.f32 (neg.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) #s(literal -1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (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)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
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(* 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)))))))
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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)))))))))
(*.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 (*.f32 uy uy) #s(literal 4/15 binary32)) (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)))))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.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)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (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 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal 4/15 binary32)) (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 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 (cbrt (pow (PI) 2))))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* (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)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
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(- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 #s(literal 1 binary32) (*.f32 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 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) ux))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
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(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (*.f32 (*.f32 maxCos ux) ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 maxCos ux) ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux 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)
(* (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 (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 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) (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 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) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (neg.f32 ux) (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 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) #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 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) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (neg.f32 ux) (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 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 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 (* ux (- (+ 1 (* -1 ux)) ux)))))) ux)
(-.f32 (fma.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) 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 (+ (* maxCos (pow ux 2)) (* ux (- (+ 1 (* -1 ux)) ux))))))) ux)
(-.f32 (fma.f32 (fma.f32 (*.f32 maxCos ux) ux (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) 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) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 maxCos #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) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 #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) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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 #s(literal -1/4 binary32) maxCos))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (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))
(fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- ux (* -1 (* ux (- 1 ux))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (neg.f32 maxCos) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 maxCos ux) ux (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(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) maxCos) ux) #s(literal 1 binary32)) (/.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))) (+.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) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (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 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))) (*.f32 ux ux)) (*.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 (* 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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (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)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))
(*.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))) (/ ux (pow maxCos 2))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos maxCos)) (+.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (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)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) maxCos)) #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))))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) 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) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (*.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) maxCos)) #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)))))) 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 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(*.f32 (-.f32 (/.f32 ux (*.f32 maxCos maxCos)) (fma.f32 (/.f32 ux (neg.f32 maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos)))) (*.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 #s(literal 1 binary32) (*.f32 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 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -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 ux ux) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (neg.f32 maxCos)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 2 binary32) ux)) (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) #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 (-.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))) (neg.f32 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 (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 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))) (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 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- (+ 1 (* -1 ux)) ux))) (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos))) ux) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) 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 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (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)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) ux) (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux)) (/.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (*.f32 (*.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 maxCos))) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (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 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (fma.f32 ux (/.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 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))

rewrite287.0ms (2.5%)

Memory
-33.3MiB live, 287.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063428
0109359
1410328
23139322
08645316
Stop Event
iter limit
node limit
iter limit
Counts
25 → 873
Calls
Call 1
Inputs
(+.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 (/.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 #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))))))
(+.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 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (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)))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.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))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(-.f32 #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)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 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 2 binary32))
(*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
Outputs
(*.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 ux #s(literal -6 binary32)) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) #s(literal 2 binary32)) (*.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))))) (neg.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (*.f32 ux (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal -6 binary32)))))) (neg.f32 (*.f32 ux (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))))))
(/.f32 (neg.f32 (fma.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) ux (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))) (neg.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)))
(/.f32 (neg.f32 (fma.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal -6 binary32))) ux (*.f32 (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))) (neg.f32 (*.f32 (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) ux)))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32))) (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) #s(literal 2 binary32))) (-.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -6 binary32)) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal -4 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) #s(literal 2 binary32)) (*.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32))))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (*.f32 ux (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (*.f32 ux (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal -6 binary32))))) (*.f32 ux (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32)))))
(/.f32 (fma.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) ux (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux))
(/.f32 (fma.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal -6 binary32))) ux (*.f32 (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (*.f32 (fma.f32 (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)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) ux))
(/.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32))) (-.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (*.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))))))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (-.f32 (/.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)) (pow.f32 ux #s(literal -2 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32))) (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32))))))
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(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log1p.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) uy)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 uy #s(literal 2 binary32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 uy (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 #s(literal 2 binary32) (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))

eval171.0ms (1.5%)

Memory
29.9MiB live, 255.7MiB allocated
Compiler

Compiled 50 691 to 4 814 computations (90.5% saved)

prune74.0ms (0.7%)

Memory
-41.1MiB live, 169.0MiB allocated
Pruning

43 alts after pruning (43 fresh and 0 done)

PrunedKeptTotal
New979311 010
Fresh311243
Picked505
Done000
Total1 015431 058
Accuracy
98.9%
Counts
1 058 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (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))))))
59.9%
(*.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))))))
62.8%
(*.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 uy #s(literal 2 binary32)))))
59.6%
(*.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) (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))))))
9.2%
(*.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 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
23.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
62.5%
(*.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)))))))))))
62.6%
(*.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)))))
33.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
62.6%
(*.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)))))))
21.5%
(*.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))))
48.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
60.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.9%
(*.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)))))))
58.6%
(*.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 #s(literal 1 binary32) ux))))))
59.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
61.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
15.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos))) ux) maxCos)) (*.f32 maxCos maxCos))))))
59.7%
(*.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 #s(approx (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.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(approx (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) #s(literal 1 binary32))))))
45.6%
(*.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))))))
93.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
43.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
30.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
21.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
33.2%
(*.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 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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))))))
20.4%
(*.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 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
20.4%
(*.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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
50.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.6%
(*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
50.7%
(*.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
51.5%
(*.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
20.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
6.5%
(*.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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
26.7%
(*.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) (/.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))))))
30.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
50.6%
#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 3 838 to 2 268 computations (40.9% saved)

simplify127.0ms (1.1%)

Memory
31.4MiB live, 188.6MiB 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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
cost-diff96
(+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32))
cost-diff416
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
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 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
cost-diff96
(+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff320
(-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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-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))))
cost-diff800
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 #s(literal 1 binary32) ux))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff352
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux))
cost-diff448
(-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077976
0128935
1261876
2641832
32889809
08176776
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 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 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux))
(-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(/.f32 maxCos ux)
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) 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)) (-.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 #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 #s(literal 1 binary32) ux))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 uy #s(literal 2 binary32))
uy
#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 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 0 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(-.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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
#s(literal 1 binary32)
#s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
(/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)
(-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)
(/.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(/.f32 maxCos ux)
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) 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)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#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 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) 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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) 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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.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 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux ux)))
(-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux ux))
(+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
#s(literal 0 binary32)
(-.f32 ux (*.f32 maxCos ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(*.f32 maxCos ux)
(*.f32 ux maxCos)
maxCos
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(-.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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))
#s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
(/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)
(-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)

localize203.0ms (1.8%)

Memory
-10.1MiB live, 215.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33984375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3984375
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
accuracy12.51220795228843
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
accuracy0.19465972661783104
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.33984375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.43053733564506597
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0.3873825195368841
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy0.40462875976844204
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy6.532534855349488
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy12.51220795228843
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.40462875976844204
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.43053733564506597
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy6.532534855349488
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy12.51220795228843
(-.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))))
accuracy0.19465972661783104
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.33984375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.3671875
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Samples
134.0ms254×0valid
2.0ms1valid
Compiler

Compiled 1 768 to 137 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 36.0ms (41.7% of total)
ival-sub: 20.0ms (23.2% of total)
ival-div: 7.0ms (8.1% of total)
ival-add: 7.0ms (8.1% of total)
ival-sqrt: 6.0ms (7% of total)
ival-sinu: 5.0ms (5.8% of total)
ival-pow2: 3.0ms (3.5% of total)
ival-pi: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
23.1MiB live, 61.8MiB allocated
Counts
25 → 150
Calls
Call 1
Inputs
(-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.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 (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) 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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.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) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
Outputs
(/ (- 2 maxCos) ux)
(/ (- 2 (* 2 maxCos)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- 1 maxCos) 2))) 2)))
(* ux (- (+ 2 (* -1 (* ux (pow (- 1 maxCos) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(/ (+ 1 (* -1 (- maxCos 1))) ux)
(/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux)
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (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)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* ux (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ (- 2 (* 2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (- 2 (+ (* 2 maxCos) (/ 1 ux))) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (/ 1 ux)))))
(* (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)))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(/ 2 ux)
(+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))
(+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
ux
(+ ux (* -1 (* maxCos ux)))
(* (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)))))
2
(+ 2 (* -2 maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (/ 1 ux)))
(* -2 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (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 (+ (* -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) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* (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))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (- (/ 1 ux) (* 2 (/ 1 (* maxCos ux))))))
(* -1 (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* 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 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (* (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) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* (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)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
maxCos
@-inf
((- (/ 1 ux) (/ (- maxCos 1) ux)) (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (- 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))) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+ 0 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (+ (- (- 1 maxCos) maxCos) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* (* uy 2) (PI)) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))
4.0ms
ux
@-inf
((- (/ 1 ux) (/ (- maxCos 1) ux)) (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (- 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))) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+ 0 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (+ (- (- 1 maxCos) maxCos) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* (* uy 2) (PI)) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))
3.0ms
uy
@-inf
((- (/ 1 ux) (/ (- maxCos 1) ux)) (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (- 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))) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+ 0 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (+ (- (- 1 maxCos) maxCos) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* (* uy 2) (PI)) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))
3.0ms
ux
@0
((- (/ 1 ux) (/ (- maxCos 1) ux)) (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (- 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))) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+ 0 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (+ (- (- 1 maxCos) maxCos) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* (* uy 2) (PI)) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))
3.0ms
ux
@inf
((- (/ 1 ux) (/ (- maxCos 1) ux)) (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (- 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))) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+ 0 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (+ (- (- 1 maxCos) maxCos) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* (* uy 2) (PI)) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))

simplify246.0ms (2.2%)

Memory
-12.2MiB live, 239.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07854696
126414305
089804109
Stop Event
iter limit
node limit
Counts
150 → 149
Calls
Call 1
Inputs
(/ (- 2 maxCos) ux)
(/ (- 2 (* 2 maxCos)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- 1 maxCos) 2))) 2)))
(* ux (- (+ 2 (* -1 (* ux (pow (- 1 maxCos) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(/ (+ 1 (* -1 (- maxCos 1))) ux)
(/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux)
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (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)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* ux (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ (- 2 (* 2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (- 2 (+ (* 2 maxCos) (/ 1 ux))) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (/ 1 ux)))))
(* (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)))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(/ 2 ux)
(+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))
(+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
ux
(+ ux (* -1 (* maxCos ux)))
(* (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)))))
2
(+ 2 (* -2 maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (/ 1 ux)))
(* -2 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (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 (+ (* -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) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* (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))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (- (/ 1 ux) (* 2 (/ 1 (* maxCos ux))))))
(* -1 (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* 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 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (* (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) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* (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)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(/ (- 2 maxCos) ux)
(/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(/ (- 2 (* 2 maxCos)) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #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)))))))
(fma.f32 (fma.f32 (*.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)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.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))))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #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)))) (* (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 (*.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)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 (fma.f32 (*.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)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (*.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 ux ux))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ 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 (- 1 maxCos) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* ux (- (+ 2 (* -1 (* ux (pow (- 1 maxCos) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(+ 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))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* 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 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 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 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(/ (+ 1 (* -1 (- maxCos 1))) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux)
(/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux)
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) ux)
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(*.f32 (neg.f32 (*.f32 (neg.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) #s(literal -1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (neg.f32 ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))))) ux)) ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ 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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (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)))))))
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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)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (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)))
(* -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 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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) (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)) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 ux (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 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) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) ux)))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* (pow ux 2) (+ (* -1 (/ (- 2 (* 2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- 2 (+ (* 2 maxCos) (/ 1 ux))) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (/ 1 ux)))))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 ux ux))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal 4/15 binary32)) (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 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal 4/15 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (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 uy uy) (*.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)))))))))
(*.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 (*.f32 uy uy) #s(literal 4/15 binary32)) (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 (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) #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 (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 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(/ 2 ux)
(/.f32 #s(literal 2 binary32) ux)
(+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))
(/.f32 (-.f32 #s(literal 2 binary32) maxCos) 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 (- ux (* -1 (* ux (- 1 ux))))))
(*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 maxCos #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) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 #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) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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 #s(literal -1/4 binary32) maxCos))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (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))
(fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 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 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) ux) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.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 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) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) 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 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) #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 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) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) 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))))
(- ux (* -1 (* ux (- 1 ux))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(-.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (*.f32 (+.f32 #s(literal -1 binary32) ux) ux))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32))) (*.f32 ux ux) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (+.f32 maxCos (-.f32 (/.f32 #s(literal 2 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))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (/ maxCos ux))
(/.f32 (neg.f32 maxCos) ux)
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (/ 1 ux)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* -2 (/ maxCos ux))
(*.f32 #s(literal -2 binary32) (/.f32 maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) 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 (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (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)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 maxCos maxCos))) (/.f32 (-.f32 ux (fma.f32 (+.f32 #s(literal -1 binary32) ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (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)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) 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) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (*.f32 (-.f32 ux (fma.f32 (+.f32 #s(literal -1 binary32) ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux))))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (*.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 maxCos maxCos))) (/.f32 (-.f32 ux (fma.f32 (+.f32 #s(literal -1 binary32) ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (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 maxCos (neg.f32 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 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.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 (*.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) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.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 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) 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))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(*.f32 (-.f32 (/.f32 ux (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) 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 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (/ 1 ux) (* 2 (/ 1 (* maxCos ux))))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux))) (neg.f32 maxCos))
(* -1 (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux))) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) 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 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (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)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) ux) (/.f32 (-.f32 ux (fma.f32 (+.f32 #s(literal -1 binary32) ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux)) (/.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (*.f32 (-.f32 ux (fma.f32 (+.f32 #s(literal -1 binary32) ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux))))) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (*.f32 (*.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 ux (fma.f32 (+.f32 #s(literal -1 binary32) ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 maxCos))) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) (neg.f32 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 (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 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))) (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 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) ux) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -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 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -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))

rewrite225.0ms (2%)

Memory
-18.9MiB live, 260.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077495
0128440
1552399
25296399
08112394
Stop Event
iter limit
node limit
iter limit
Counts
25 → 547
Calls
Call 1
Inputs
(-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.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 (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) 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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.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) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
Outputs
(*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32)))))
(*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (pow.f32 ux #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 2 binary32) maxCos))
(/.f32 (/.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) ux) ux)
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (neg.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (neg.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos))) (neg.f32 (*.f32 ux ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 (neg.f32 ux) (neg.f32 ux)))
(/.f32 (-.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (neg.f32 ux) ux))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 ux (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 ux)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 ux (-.f32 maxCos #s(literal 1 binary32)))) ux) (*.f32 ux (/.f32 ux (-.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 ux))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))))
(/.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux))
(/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos))))
(/.f32 #s(literal 1 binary32) (/.f32 ux (-.f32 #s(literal 2 binary32) maxCos)))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32)))) (/.f32 (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32)))))
(-.f32 (/.f32 ux (*.f32 ux ux)) (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 ux ux)))
(-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (pow.f32 ux #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (/.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal 1 binary32) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(*.f32 (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))))
(*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos))
(/.f32 (*.f32 (expm1.f32 (*.f32 (log1p.f32 (-.f32 (neg.f32 maxCos) maxCos)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) maxCos #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (-.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)))
(/.f32 (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) #s(literal -1 binary32)) (neg.f32 ux))
(/.f32 (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) #s(literal 1 binary32)) ux)
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (+.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (*.f32 (/.f32 (neg.f32 maxCos) ux) (/.f32 (neg.f32 maxCos) ux))) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (neg.f32 maxCos) ux)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal 3 binary32)))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 (neg.f32 maxCos) ux) (/.f32 (neg.f32 maxCos) ux)) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (neg.f32 maxCos) ux)))))
(/.f32 (neg.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) (neg.f32 ux))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (expm1.f32 (*.f32 (log1p.f32 (-.f32 (neg.f32 maxCos) maxCos)) #s(literal 2 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) maxCos #s(literal 1 binary32))) (neg.f32 ux)))
(/.f32 (*.f32 (expm1.f32 (*.f32 (log1p.f32 (-.f32 (neg.f32 maxCos) maxCos)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) maxCos #s(literal 1 binary32))) ux))
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)) (neg.f32 ux)))
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)) ux))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (neg.f32 ux)) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) ux) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) maxCos)) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (/.f32 ux maxCos)) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (/.f32 ux maxCos)))
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(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) ux) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) maxCos)) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) ux))
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 2 binary32))) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 3 binary32))) (fma.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 2 binary32)) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 3 binary32)) (fma.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) (+.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
(fma.f32 #s(literal -1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))) #s(literal 1 binary32))
(+.f32 (neg.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))

eval174.0ms (1.5%)

Memory
25.3MiB live, 214.5MiB allocated
Compiler

Compiled 41 325 to 4 457 computations (89.2% saved)

prune131.0ms (1.2%)

Memory
-4.5MiB live, 235.1MiB allocated
Pruning

67 alts after pruning (66 fresh and 1 done)

PrunedKeptTotal
New69647743
Fresh191938
Picked415
Done000
Total71967786
Accuracy
99.4%
Counts
786 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
59.9%
(*.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))))))
62.8%
(*.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 uy #s(literal 2 binary32)))))
98.1%
(*.f32 (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
9.3%
(*.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 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
62.6%
(*.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)))))
18.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos))))))))
62.6%
(*.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)))))))
20.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
20.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (neg.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
47.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
47.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
46.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (+ 0 (- ux (* maxCos ux))) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
60.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.9%
(*.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)))))))
58.6%
(*.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 #s(literal 1 binary32) ux))))))
59.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
59.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 #s(approx (+ (- (- 1 maxCos) maxCos) 1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
59.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
81.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (-.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (*.f32 (+.f32 #s(literal -1 binary32) ux) ux)))))
93.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
42.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (*.f32 ux ux)))))
98.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux))))))
98.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (*.f32 ux ux)) (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))))
4.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (*.f32 (/.f32 (neg.f32 maxCos) ux) (/.f32 (neg.f32 maxCos) ux))) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (neg.f32 maxCos) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
54.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal 3 binary32)))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (*.f32 maxCos ux)) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (/.f32 ux maxCos))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
97.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
12.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
4.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
89.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
45.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
92.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
27.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
20.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))))
50.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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))))))
50.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (-.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) ux)))))))
78.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
20.4%
(*.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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
50.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.7%
(*.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 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.6%
(*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.0%
(*.f32 #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))))))
50.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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)) (-.f32 #s(literal 1 binary32) ux))))))
50.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) 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 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
6.5%
(*.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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
26.7%
(*.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) (/.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))))))
78.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
59.8%
(*.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 #s(literal 2 binary32)) ux))))
75.3%
(*.f32 #s(approx (sin (* (* uy 2) (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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
3.7%
(*.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 maxCos (neg.f32 maxCos)) (*.f32 ux ux)))))
30.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
30.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
28.6%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
50.6%
#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 6 791 to 3 961 computations (41.7% saved)

simplify157.0ms (1.4%)

Memory
-11.3MiB live, 145.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff0
(-.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)))))
cost-diff0
(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))))))
cost-diff0
(*.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 uy #s(literal 2 binary32)))))
cost-diff64
(+.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)))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff544
(-.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)) ux) maxCos))
cost-diff800
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
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))))
cost-diff64
(*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux))
cost-diff352
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
cost-diff384
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos)))
cost-diff3616
(/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931192
01521146
13111098
28161021
34140955
08625933
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 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 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux)))
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos)))
(*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux))
(*.f32 ux (-.f32 #s(literal 2 binary32) maxCos))
ux
(-.f32 #s(literal 2 binary32) maxCos)
maxCos
(neg.f32 ux)
(*.f32 (*.f32 ux ux) (neg.f32 maxCos))
(*.f32 ux ux)
(neg.f32 maxCos)
(*.f32 (*.f32 ux ux) (neg.f32 ux))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) 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 (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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(-.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)) ux) maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 uy #s(literal 2 binary32)))))
(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))))))
(-.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)))))
#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))))
(+.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 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) ux)
#s(literal 2 binary32)
ux
(*.f32 ux ux)
(sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
(PI.f32)
(*.f32 uy #s(literal 2 binary32))
uy
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 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 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
#s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)
(-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) (*.f32 maxCos ux))
(*.f32 maxCos ux)
maxCos
ux
(/.f32 #s(literal 2 binary32) ux)
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
(*.f32 ux ux)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) ux)))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (fma.f32 ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) ux)
(-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux)))
(/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux)
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos)))
(*.f32 (*.f32 ux ux) (+.f32 maxCos (-.f32 maxCos #s(literal 2 binary32))))
(*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux))
(*.f32 (-.f32 maxCos #s(literal 2 binary32)) (*.f32 ux ux))
(*.f32 ux (-.f32 #s(literal 2 binary32) maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
ux
(-.f32 #s(literal 2 binary32) maxCos)
maxCos
(neg.f32 ux)
(*.f32 (*.f32 ux ux) (neg.f32 maxCos))
(*.f32 (*.f32 (neg.f32 maxCos) ux) ux)
(*.f32 ux ux)
(neg.f32 maxCos)
(*.f32 (*.f32 ux ux) (neg.f32 ux))
(neg.f32 (pow.f32 ux #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) 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 (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 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux ux)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)
(*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) 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 uy #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux) #s(literal 1 binary32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(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))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux) #s(literal 1 binary32)))))
(-.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)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux) #s(literal 1 binary32))))
#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))))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux) #s(literal 1 binary32)))
(+.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)))
(fma.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux) #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 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
#s(literal 2 binary32)
ux
(*.f32 ux ux)
(sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(PI.f32)
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
#s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos))
#s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos)
(-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux))
(-.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) (*.f32 maxCos ux))
(/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos)
(*.f32 maxCos ux)
(*.f32 ux maxCos)
maxCos
ux
(/.f32 #s(literal 2 binary32) ux)
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
(*.f32 ux ux)

localize216.0ms (1.9%)

Memory
31.8MiB live, 341.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33984375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.3671875
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy3.132968912483025
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)
accuracy0.33984375
(*.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 uy #s(literal 2 binary32)))))
accuracy0.3671875
(*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux))
accuracy0.38671875
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
accuracy12.51220795228843
(-.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)))))
accuracy0.3873825195368841
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy0.43053733564506597
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy6.532534855349488
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy12.527436924163792
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.38671875
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy2.0454182412181607
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy6.532534855349488
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy8.708900815546198
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy0.328788769536884
(/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux)))
accuracy0.33984375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.3671875
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy0.38671875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Samples
146.0ms254×0valid
2.0ms1valid
Compiler

Compiled 2 055 to 171 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 46.0ms (38.1% of total)
ival-sub: 29.0ms (24% of total)
ival-sqrt: 13.0ms (10.8% of total)
ival-div: 10.0ms (8.3% of total)
ival-add: 8.0ms (6.6% of total)
ival-neg: 6.0ms (5% of total)
ival-sinu: 5.0ms (4.1% of total)
ival-pow2: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (0.7%)

Memory
-19.3MiB live, 72.5MiB allocated
Counts
29 → 200
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux)))
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 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))))
#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 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.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)) ux) maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 (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 uy #s(literal 2 binary32)))))
(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))))))
(-.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)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 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))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 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))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 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 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
Outputs
(* -1 (/ (- (* -1 (- 2 maxCos)) (* -1 maxCos)) ux))
(* (pow ux 2) (- (* -1 (- 2 maxCos)) (* -1 maxCos)))
(* -1 (* ux (- (* -1 (- 2 maxCos)) (* -1 maxCos))))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* -1 (- (* -1 (- 2 maxCos)) (* -1 maxCos)))))
(* -1 (* (pow ux 2) (- 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
1
(+ 1 (* 2 (* ux (- maxCos 1))))
(+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(* 2 (* ux (- maxCos 1)))
(* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))
(/ (* maxCos (- (* 2 (/ 1 maxCos)) 2)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- 1 maxCos) 2)))) (* 2 maxCos)))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 (- 2 maxCos)) (* -1 maxCos)) ux)) (* -1 (pow (- 1 maxCos) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (- (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (/ (* maxCos (- 2 (* 2 (/ 1 maxCos)))) ux))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (/ 1 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)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(/ 2 ux)
(+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(* -2 (pow ux 2))
(+ (* -2 (pow ux 2)) (* maxCos (- (pow ux 2) (* -1 (pow ux 2)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* -2 (pow ux 2)) (* maxCos (pow 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 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(+ 1 (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))))
(+ 1 (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))))
(+ 1 (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))))))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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
(+ 2 (* -2 maxCos))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))))
(+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))))
(* -1 (/ (* maxCos (- (pow ux 2) (* -1 (pow ux 2)))) (pow ux 3)))
(* maxCos (+ (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))) (* 2 (/ 1 (* maxCos ux)))))
(* maxCos (- (pow ux 2) (* -1 (pow ux 2))))
(* maxCos (- (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)) (* -1 (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (+ 2 (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (+ 2 (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* maxCos (pow ux 2))
(* maxCos (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (- (* -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)))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2))))
(* -2 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(/ (* maxCos (- (* -1 (pow ux 2)) (pow ux 2))) (pow ux 3))
(* -1 (* maxCos (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) (* 2 (/ 1 (* maxCos ux))))))
(* -1 (* maxCos (- (* -1 (pow ux 2)) (pow ux 2))))
(* -1 (* maxCos (- (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos))) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) 2))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1 (pow ux 2)) (* 2 (/ (pow 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))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* -1 (/ (+ 1 (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* 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 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
Calls

9 calls:

TimeVariablePointExpression
26.0ms
ux
@inf
((/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (* (* ux (- 2 maxCos)) (neg ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)))) (+ 1 (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux))) (* (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (sin (* (PI) (* uy 2)))) (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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (sin (* (* uy 2) (PI))) (+ (* maxCos ux) (- 1 ux)) (* (PI) (* uy 2)) (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux)) (* (- (/ 2 (* maxCos ux)) (/ 2 ux)) maxCos) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)))
9.0ms
ux
@-inf
((/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (* (* ux (- 2 maxCos)) (neg ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)))) (+ 1 (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux))) (* (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (sin (* (PI) (* uy 2)))) (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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (sin (* (* uy 2) (PI))) (+ (* maxCos ux) (- 1 ux)) (* (PI) (* uy 2)) (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux)) (* (- (/ 2 (* maxCos ux)) (/ 2 ux)) maxCos) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)))
7.0ms
maxCos
@inf
((/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (* (* ux (- 2 maxCos)) (neg ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)))) (+ 1 (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux))) (* (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (sin (* (PI) (* uy 2)))) (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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (sin (* (* uy 2) (PI))) (+ (* maxCos ux) (- 1 ux)) (* (PI) (* uy 2)) (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux)) (* (- (/ 2 (* maxCos ux)) (/ 2 ux)) maxCos) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)))
7.0ms
ux
@0
((/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (* (* ux (- 2 maxCos)) (neg ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)))) (+ 1 (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux))) (* (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (sin (* (PI) (* uy 2)))) (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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (sin (* (* uy 2) (PI))) (+ (* maxCos ux) (- 1 ux)) (* (PI) (* uy 2)) (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux)) (* (- (/ 2 (* maxCos ux)) (/ 2 ux)) maxCos) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)))
5.0ms
maxCos
@-inf
((/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (* (* ux (- 2 maxCos)) (neg ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (* (* uy 2) (sqrt (PI))) (sqrt (PI))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)))) (+ 1 (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux))) (* (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (sin (* (PI) (* uy 2)))) (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 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (sin (* (* uy 2) (PI))) (+ (* maxCos ux) (- 1 ux)) (* (PI) (* uy 2)) (* (* (- maxCos 1) (+ (- maxCos 1) (/ 2 ux))) (* ux ux)) (* (- (/ 2 (* maxCos ux)) (/ 2 ux)) maxCos) (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)))

simplify175.0ms (1.5%)

Memory
8.4MiB live, 188.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010637151
136606455
083006178
Stop Event
iter limit
node limit
Counts
200 → 200
Calls
Call 1
Inputs
(* -1 (/ (- (* -1 (- 2 maxCos)) (* -1 maxCos)) ux))
(* (pow ux 2) (- (* -1 (- 2 maxCos)) (* -1 maxCos)))
(* -1 (* ux (- (* -1 (- 2 maxCos)) (* -1 maxCos))))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* -1 (- (* -1 (- 2 maxCos)) (* -1 maxCos)))))
(* -1 (* (pow ux 2) (- 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
1
(+ 1 (* 2 (* ux (- maxCos 1))))
(+ 1 (* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(* 2 (* ux (- maxCos 1)))
(* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))
(/ (* maxCos (- (* 2 (/ 1 maxCos)) 2)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- 1 maxCos) 2)))) (* 2 maxCos)))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 (- 2 maxCos)) (* -1 maxCos)) ux)) (* -1 (pow (- 1 maxCos) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (- (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (/ (* maxCos (- 2 (* 2 (/ 1 maxCos)))) ux))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (/ 1 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)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(/ 2 ux)
(+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux)))
(* -2 (pow ux 2))
(+ (* -2 (pow ux 2)) (* maxCos (- (pow ux 2) (* -1 (pow ux 2)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* -2 (pow ux 2)) (* maxCos (pow 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 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(+ 1 (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))))
(+ 1 (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))))
(+ 1 (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))))))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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
(+ 2 (* -2 maxCos))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))))
(+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))))
(* -1 (/ (* maxCos (- (pow ux 2) (* -1 (pow ux 2)))) (pow ux 3)))
(* maxCos (+ (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))) (* 2 (/ 1 (* maxCos ux)))))
(* maxCos (- (pow ux 2) (* -1 (pow ux 2))))
(* maxCos (- (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)) (* -1 (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (+ 2 (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (+ 2 (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* maxCos (pow ux 2))
(* maxCos (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (- (* -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)))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2))))
(* -2 (/ maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(/ (* maxCos (- (* -1 (pow ux 2)) (pow ux 2))) (pow ux 3))
(* -1 (* maxCos (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) (* 2 (/ 1 (* maxCos ux))))))
(* -1 (* maxCos (- (* -1 (pow ux 2)) (pow ux 2))))
(* -1 (* maxCos (- (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos))) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) 2))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1 (pow ux 2)) (* 2 (/ (pow 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))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* -1 (/ (+ 1 (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* 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 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
Outputs
(* -1 (/ (- (* -1 (- 2 maxCos)) (* -1 maxCos)) ux))
(neg.f32 (/.f32 (+.f32 (+.f32 #s(literal -2 binary32) maxCos) maxCos) ux))
(* (pow ux 2) (- (* -1 (- 2 maxCos)) (* -1 maxCos)))
(*.f32 (*.f32 ux ux) (+.f32 (+.f32 #s(literal -2 binary32) maxCos) maxCos))
(* -1 (* ux (- (* -1 (- 2 maxCos)) (* -1 maxCos))))
(*.f32 (neg.f32 ux) (+.f32 (+.f32 #s(literal -2 binary32) maxCos) maxCos))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* -1 (- (* -1 (- 2 maxCos)) (* -1 maxCos)))))
(*.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (+.f32 (+.f32 #s(literal -2 binary32) maxCos) maxCos))) ux)
(* -1 (* (pow ux 2) (- 2 maxCos)))
(*.f32 (*.f32 ux ux) (+.f32 maxCos #s(literal -2 binary32)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (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 -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 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 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* 2 (* ux (- maxCos 1))))
(fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32) #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))
(sqrt (* ux (- 2 (* 2 maxCos))))
(sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (*.f32 ux ux) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(fma.f32 (fma.f32 (fma.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)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) #s(literal -1/8 binary32) (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) #s(literal -1/16 binary32))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (*.f32 ux ux) (sqrt.f32 (*.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)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* 2 (* ux (- maxCos 1)))
(*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))
(* ux (+ (* 2 (- maxCos 1)) (* ux (pow (- maxCos 1) 2))))
(*.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)
(/ (* maxCos (- (* 2 (/ 1 maxCos)) 2)) ux)
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- 1 maxCos) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 (- 2 maxCos)) (* -1 maxCos)) ux)) (* -1 (pow (- 1 maxCos) 2))))
(*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal -2 binary32) maxCos) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #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)))))))
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(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* (pow ux 2) (pow (- maxCos 1) 2))
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(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (pow (- maxCos 1) 2)))
(*.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))) (*.f32 ux ux))
(* (pow ux 2) (+ (* 2 (/ (- maxCos 1) ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))))
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(* ux (* (sqrt -1) (- maxCos 1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.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 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.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 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 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (pow ux 2) (- (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #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)))))))
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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 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
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(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
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(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
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(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -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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(* (pow ux 2) (+ (* -1 (/ (- (* -2 (- maxCos 1)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
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(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(*.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (neg.f32 ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (pow.f32 (+.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))))) ux)) ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (/ (* maxCos (- 2 (* 2 (/ 1 maxCos)))) ux))
(*.f32 (neg.f32 maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (/ 1 ux)))))
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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)))))))))
(*.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)))))))))))
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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)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 #s(literal 4/15 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) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 #s(literal -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) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (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 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))) uy)
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (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)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(/ 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 (pow ux 2))
(*.f32 #s(literal -2 binary32) (*.f32 ux ux))
(+ (* -2 (pow ux 2)) (* maxCos (- (pow ux 2) (* -1 (pow ux 2)))))
(fma.f32 #s(literal -2 binary32) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))
(*.f32 (*.f32 ux ux) (+.f32 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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))))
(+ (* 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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32))
(+ 1 (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))))
(+.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32))))
(+ 1 (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))))))
(+.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (+.f32 maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)))))
(sqrt (- 1 (pow (- 1 ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (-.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))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(fma.f32 (*.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 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) maxCos) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32))))))) maxCos (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(* (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 (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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 (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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 (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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 (-.f32 #s(literal 1 binary32) ux) ux) 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)))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #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 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux))
(+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))))
(fma.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux)))
(+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))))
(fma.f32 (*.f32 (*.f32 ux ux) maxCos) (+.f32 maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux)))
(* -1 (/ (* maxCos (- (pow ux 2) (* -1 (pow ux 2)))) (pow ux 3)))
(/.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) maxCos) (pow.f32 ux #s(literal 3 binary32)))
(* maxCos (+ (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))) (* 2 (/ 1 (* maxCos ux)))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) (pow.f32 ux #s(literal 3 binary32)))) maxCos)
(* maxCos (- (pow ux 2) (* -1 (pow ux 2))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) maxCos)
(* maxCos (- (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 ux ux) maxCos) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (*.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) (+ 2 (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 ux #s(literal 3 binary32)))) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (+ 2 (* -1 (/ (- (pow ux 2) (* -1 (pow ux 2))) (pow ux 3))))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 ux #s(literal 3 binary32)))) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos (pow ux 2))
(*.f32 (*.f32 ux ux) maxCos)
(* maxCos (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 ux ux) maxCos) #s(literal -2 binary32) (*.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 (/ (* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.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 (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) (- (* -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))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))))
(*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (/.f32 (*.f32 ux ux) maxCos))) (*.f32 maxCos maxCos))
(* maxCos (* ux (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(*.f32 (-.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 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(*.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.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 maxCos maxCos)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.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 (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) 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)) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) 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 (* ux (- (+ 1 (* -1 ux)) 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 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) maxCos)
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2))))
(*.f32 (-.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (/.f32 (*.f32 ux ux) maxCos))) (*.f32 maxCos maxCos))
(* -2 (/ maxCos ux))
(*.f32 #s(literal -2 binary32) (/.f32 maxCos ux))
(* maxCos (- (* 2 (/ 1 (* maxCos ux))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(/ (* maxCos (- (* -1 (pow ux 2)) (pow ux 2))) (pow ux 3))
(/.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) maxCos) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* maxCos (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) (* 2 (/ 1 (* maxCos ux))))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux))) (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 (pow ux 2)) (pow ux 2))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) maxCos)
(* -1 (* maxCos (- (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos))) (pow ux 2))))
(*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (neg.f32 ux) ux (*.f32 (/.f32 (*.f32 ux ux) maxCos) #s(literal 2 binary32)))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* -1 (/ (- (* -1 (pow ux 2)) (pow ux 2)) (pow ux 3))) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos)))))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (/.f32 (*.f32 ux ux) maxCos) #s(literal 2 binary32))) (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 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) (neg.f32 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 (-.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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)) (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 (-.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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (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)) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* -1 (/ (+ 1 (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32)) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (sqrt -1))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.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 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) 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 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) 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)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* 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 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) ux) (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 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 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* 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 (/.f32 #s(literal -1/2 binary32) ux) (/.f32 (*.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) 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 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) 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)) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) ux) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* 2 (/ 1 ux)) (* 2 (/ 1 (* maxCos ux))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)) (*.f32 maxCos maxCos))

rewrite224.0ms (2%)

Memory
5.3MiB live, 246.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093608
0152531
1624460
26147460
09441454
Stop Event
iter limit
node limit
iter limit
Counts
29 → 448
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux)))
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 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))))
#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 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.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)) ux) maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 (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 uy #s(literal 2 binary32)))))
(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))))))
(-.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)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 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))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 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))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 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 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
Outputs
(*.f32 (pow.f32 (/.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) #s(literal 2 binary32)))) #s(literal -1 binary32)) (pow.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 3 binary32)) (*.f32 (pow.f32 (neg.f32 maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32))))) #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) (*.f32 ux (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))) (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (neg.f32 ux) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 ux ux) (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux))) #s(literal -1 binary32)))
(*.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 ux)))
(*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))))
(*.f32 (neg.f32 (pow.f32 ux #s(literal -3 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (pow.f32 ux #s(literal -3 binary32))) (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)))
(*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))))
(*.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (neg.f32 ux) (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux))) (pow.f32 ux #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (/.f32 (*.f32 (neg.f32 ux) ux) (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux))) #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux))
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) (neg.f32 (pow.f32 ux #s(literal -3 binary32))))
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) (pow.f32 ux #s(literal -2 binary32))) #s(literal -1 binary32)) ux)
(/.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) (neg.f32 ux)) (*.f32 ux ux))
(/.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) ux) (*.f32 (neg.f32 ux) ux))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) #s(literal 2 binary32))) (neg.f32 (pow.f32 ux #s(literal -3 binary32)))) (*.f32 ux (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 3 binary32)) (*.f32 (pow.f32 (neg.f32 maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32)))) (neg.f32 (pow.f32 ux #s(literal -3 binary32)))) (fma.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) (*.f32 ux (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))) (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))) (*.f32 (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32))))) (fma.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (+.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (*.f32 (/.f32 (neg.f32 maxCos) ux) (/.f32 (neg.f32 maxCos) ux))) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (neg.f32 maxCos) ux)))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (fma.f32 (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (*.f32 (/.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (/.f32 (*.f32 (*.f32 maxCos ux) ux) (pow.f32 ux #s(literal 3 binary32)))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal 3 binary32)))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 (neg.f32 maxCos) ux) (/.f32 (neg.f32 maxCos) ux)) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (neg.f32 maxCos) ux)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) (pow.f32 ux #s(literal -2 binary32)))) (neg.f32 (neg.f32 ux)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)))) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 3 binary32)) (*.f32 (pow.f32 (neg.f32 maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal 6 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) (*.f32 ux (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))) (pow.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32))) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) #s(literal 1 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))) (*.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (*.f32 (*.f32 (neg.f32 ux) ux) maxCos))) (*.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (/.f32 ux maxCos)) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (/.f32 ux maxCos)))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (neg.f32 ux)) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) ux) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) maxCos)) (*.f32 (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) (/.f32 ux maxCos)) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (/.f32 ux maxCos)))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) (neg.f32 ux)) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (neg.f32 maxCos))) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) ux) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) maxCos)) (*.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) ux))
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (/.f32 ux maxCos)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux)) (*.f32 (*.f32 maxCos ux) ux)) (pow.f32 ux #s(literal 3 binary32)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 ux maxCos)) ux) (*.f32 ux (/.f32 ux maxCos)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) (neg.f32 ux)) (*.f32 (neg.f32 maxCos) ux)) (*.f32 (neg.f32 ux) ux))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (*.f32 maxCos ux)) (*.f32 ux ux))
(/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux)
(/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos) (*.f32 (*.f32 maxCos ux) ux)) (pow.f32 ux #s(literal -2 binary32))) (neg.f32 ux))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)))
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(/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 maxCos ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(+.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) uy))
(*.f32 (*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) ux)
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) ux)
(*.f32 (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux)) #s(literal 1 binary32))
(*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux)))
(*.f32 (*.f32 ux ux) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(*.f32 ux (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) maxCos))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux))) (-.f32 #s(literal -1 binary32) maxCos))
(/.f32 (*.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux))) (fma.f32 maxCos maxCos (+.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (*.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (*.f32 ux ux))) (+.f32 (fma.f32 maxCos maxCos maxCos) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (*.f32 ux ux)))
(fma.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(+.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (*.f32 ux ux)))
(+.f32 (*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)
(*.f32 maxCos (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 ux ux))) maxCos) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (pow.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 3 binary32))) maxCos) (+.f32 (fma.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 maxCos ux) ux))) (/.f32 #s(literal 4 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 maxCos ux) ux))
(/.f32 (*.f32 maxCos (-.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 ux ux)))) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)))
(/.f32 (*.f32 maxCos (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (pow.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 3 binary32)))) (+.f32 (fma.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 maxCos ux) ux))) (/.f32 #s(literal 4 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 maxCos (-.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (*.f32 maxCos ux) ux))
(fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) maxCos (*.f32 (/.f32 #s(literal -2 binary32) ux) maxCos))
(fma.f32 maxCos (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 maxCos (/.f32 #s(literal -2 binary32) ux)))
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) maxCos) (*.f32 (/.f32 #s(literal -2 binary32) ux) maxCos))
(+.f32 (*.f32 maxCos (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos)) (*.f32 maxCos (/.f32 #s(literal -2 binary32) ux)))
(*.f32 (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) ux)
(*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(*.f32 ux (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux))
(/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)))) (+.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32)))) (+.f32 (fma.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 2 binary32))))
(fma.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (*.f32 ux ux) (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(fma.f32 (*.f32 ux ux) #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (*.f32 (*.f32 ux ux) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (*.f32 ux ux)) (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(+.f32 (*.f32 (*.f32 ux ux) #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))

eval130.0ms (1.1%)

Memory
25.7MiB live, 222.2MiB allocated
Compiler

Compiled 42 154 to 4 308 computations (89.8% saved)

prune176.0ms (1.5%)

Memory
-2.4MiB live, 315.2MiB allocated
Pruning

88 alts after pruning (85 fresh and 3 done)

PrunedKeptTotal
New62433657
Fresh95261
Picked325
Done011
Total63688724
Accuracy
99.5%
Counts
724 → 88
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
98.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) maxCos)) (neg.f32 ux)) (*.f32 (*.f32 ux ux) (neg.f32 maxCos))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
59.9%
(*.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))))))
98.1%
(*.f32 (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
89.2%
(*.f32 (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
59.8%
(*.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 uy #s(literal 2 binary32)) (PI.f32))))
98.3%
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
9.2%
(*.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 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
62.6%
(*.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)))))
19.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos))))))))
21.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
21.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (neg.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
46.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
47.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
46.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (+ 0 (- ux (* maxCos ux))) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
60.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.9%
(*.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)))))))
58.6%
(*.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 #s(literal 1 binary32) ux))))))
59.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
59.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 #s(approx (+ (- (- 1 maxCos) maxCos) 1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
59.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
81.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (-.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (*.f32 (+.f32 #s(literal -1 binary32) ux) ux)))))
93.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
43.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (*.f32 ux ux)))))
16.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 2 binary32)))))))
4.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (*.f32 (/.f32 (neg.f32 maxCos) ux) (/.f32 (neg.f32 maxCos) ux))) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 (neg.f32 maxCos) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (*.f32 maxCos ux)) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (/.f32 ux maxCos))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
75.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))) (*.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (*.f32 (*.f32 (neg.f32 ux) ux) maxCos))) (*.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
92.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 #s(approx (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (*.f32 #s(literal -2 binary32) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (neg.f32 ux))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
97.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
4.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
96.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux))) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
40.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 ux ux))) maxCos) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
89.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
92.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
74.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (/ (- (* (* ux (- 2 maxCos)) (neg ux)) (* (* ux ux) (neg maxCos))) (* (* ux ux) (neg ux))) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (neg.f32 ux) (+.f32 (+.f32 #s(literal -2 binary32) maxCos) maxCos))))))
45.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
20.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
92.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
8.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
50.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
20.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
29.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
49.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
49.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
50.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
78.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
61.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
20.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))))
50.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #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))))))
75.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
78.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) 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))))
50.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (-.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) ux)))))))
78.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
20.4%
(*.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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
50.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.7%
(*.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 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.6%
(*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.0%
(*.f32 #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))))))
50.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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)) (-.f32 #s(literal 1 binary32) ux))))))
50.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) 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 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
6.6%
(*.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 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
26.7%
(*.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) (/.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))))))
78.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
59.8%
(*.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 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
59.8%
(*.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 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux))))
59.8%
(*.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 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32)))) ux))))
59.8%
(*.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 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
62.0%
(*.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))))
59.8%
(*.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 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32)))) ux))))
3.7%
(*.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 maxCos (neg.f32 maxCos)) (*.f32 ux ux)))))
61.9%
(*.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 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
59.8%
(*.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 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
30.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
30.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
31.6%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
50.6%
#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 12 436 to 3 847 computations (69.1% saved)

regimes536.0ms (4.7%)

Memory
8.2MiB live, 913.2MiB allocated
Counts
160 → 1
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 #s(literal 1 binary32) maxCos))))))))
(*.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) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 maxCos ux) (+.f32 (/.f32 maxCos ux) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 2 binary32) maxCos)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))) (*.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (*.f32 (*.f32 (neg.f32 ux) ux) maxCos))) (*.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal -3 binary32)) (pow.f32 (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal 3 binary32)))) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 #s(approx (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) maxCos)) #s(literal 2 binary32)))))))
(*.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 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (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 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.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 (/.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 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
Outputs
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
Calls

11 calls:

75.0ms
ux
50.0ms
(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)))))
49.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
47.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
47.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
98.3%1ux
98.3%1uy
98.3%1maxCos
98.3%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))))))
98.3%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.3%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.3%1(*.f32 uy #s(literal 2 binary32))
98.3%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)))))
98.3%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))))
98.3%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.3%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes293.0ms (2.6%)

Memory
-4.5MiB live, 420.4MiB allocated
Counts
94 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
#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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (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 uy #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (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 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (+ 0 (- ux (* maxCos ux))) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 #s(approx (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) 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))))
(*.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 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.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))))))
(*.f32 (sin.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 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos))) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
Calls

11 calls:

31.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
27.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
27.0ms
maxCos
26.0ms
(*.f32 uy #s(literal 2 binary32))
26.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
93.0%1ux
93.0%1uy
98.4%2maxCos
93.0%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
93.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
93.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
93.0%1(*.f32 uy #s(literal 2 binary32))
93.0%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
93.0%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
93.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
93.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes107.0ms (0.9%)

Memory
7.6MiB live, 166.7MiB allocated
Counts
92 → 1
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
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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 (* (+ (- 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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (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 uy #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (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 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (+ 0 (- ux (* maxCos ux))) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 #s(approx (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (- (- 1 maxCos) maxCos) 1) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) 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))))
(*.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 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.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))))))
(*.f32 (sin.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 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (+ 0 (- ux (* maxCos ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) (- maxCos 1))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos))) ux) maxCos)) (*.f32 maxCos maxCos))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
Calls

4 calls:

27.0ms
maxCos
25.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
25.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
25.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
93.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
93.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
93.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
93.0%1maxCos
Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes203.0ms (1.8%)

Memory
13.7MiB live, 217.8MiB allocated
Counts
48 → 2
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 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 (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 (fma.f32 maxCos ux (-.f32 #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 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.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))) 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 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 (*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #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) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.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 #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 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (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 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #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 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (-.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) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

11 calls:

41.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
35.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
16.0ms
uy
16.0ms
maxCos
15.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
84.2%2ux
76.2%1maxCos
82.3%2(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
84.2%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
84.2%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
86.6%2uy
86.6%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
86.6%2(*.f32 uy #s(literal 2 binary32))
86.6%3(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
84.2%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
84.2%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes153.0ms (1.3%)

Memory
-0.9MiB live, 195.9MiB allocated
Counts
46 → 1
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 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 (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 (fma.f32 maxCos ux (-.f32 #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 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.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))) 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 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 (*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #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) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.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 #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 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (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 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #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 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (-.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) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (* (/ 2 ux) (- maxCos 1))) (* ux ux)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
Calls

10 calls:

24.0ms
(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)))))
22.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
15.0ms
(*.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))))))
14.0ms
(*.f32 uy #s(literal 2 binary32))
13.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Results
AccuracySegmentsBranch
76.2%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
76.2%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
76.2%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
76.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.2%1ux
76.2%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.2%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.2%1uy
76.2%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
76.2%1(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 98 to 76 computations (22.4% saved)

regimes140.0ms (1.2%)

Memory
19.7MiB live, 251.4MiB allocated
Counts
42 → 1
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 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 (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 (fma.f32 maxCos ux (-.f32 #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 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.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))) 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 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 (*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #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) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.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 #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 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (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 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #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 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (-.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) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
Calls

11 calls:

14.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
14.0ms
uy
14.0ms
ux
14.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
13.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
75.2%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
75.2%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
75.2%1uy
75.2%1maxCos
75.2%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
75.2%1(*.f32 uy #s(literal 2 binary32))
75.2%1ux
75.2%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
75.2%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
75.2%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
75.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes138.0ms (1.2%)

Memory
-5.7MiB live, 273.9MiB allocated
Counts
40 → 2
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 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 (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 (fma.f32 maxCos ux (-.f32 #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 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.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))) 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 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 (*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #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) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.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 #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 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(literal -4 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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (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 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #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 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) 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 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #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 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (-.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) ux)))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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

11 calls:

17.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
14.0ms
maxCos
14.0ms
(*.f32 uy #s(literal 2 binary32))
13.0ms
uy
12.0ms
ux
Results
AccuracySegmentsBranch
63.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
63.1%1uy
63.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
63.1%1(*.f32 uy #s(literal 2 binary32))
69.0%2(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
69.8%2maxCos
74.9%2ux
74.9%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
74.9%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))))
74.9%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
74.9%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes30.0ms (0.3%)

Memory
-16.3MiB live, 65.5MiB allocated
Counts
18 → 2
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 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 (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 (fma.f32 maxCos ux (-.f32 #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))))))
Outputs
(*.f32 #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 #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

5 calls:

7.0ms
ux
6.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms
(-.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))))
5.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
74.9%2ux
74.9%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
74.9%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))))
74.9%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
74.9%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes27.0ms (0.2%)

Memory
25.4MiB live, 64.7MiB allocated
Counts
17 → 2
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #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))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (*.f32 ux (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 maxCos #s(literal 1 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 (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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.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) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Calls

5 calls:

6.0ms
(-.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))))
5.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms
ux
5.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
74.3%2ux
74.3%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
74.3%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))))
74.3%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
74.3%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes17.0ms (0.2%)

Memory
-3.8MiB live, 34.8MiB allocated
Counts
9 → 2
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 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)) (-.f32 #s(literal 1 binary32) ux))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Calls

5 calls:

4.0ms
(-.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))))
3.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms
ux
3.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
74.3%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
74.3%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
74.3%2ux
74.3%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
74.3%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))))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes16.0ms (0.1%)

Memory
0.9MiB live, 39.9MiB allocated
Counts
8 → 2
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (*.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
Calls

5 calls:

4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms
ux
3.0ms
(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)))))
3.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Results
AccuracySegmentsBranch
74.2%2ux
74.2%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
74.2%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))))
74.2%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
74.2%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes31.0ms (0.3%)

Memory
-15.5MiB live, 63.9MiB allocated
Counts
6 → 1
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 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (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 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux))))
Calls

11 calls:

4.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
62.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
62.0%1uy
62.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
62.0%1(*.f32 uy #s(literal 2 binary32))
62.0%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
62.0%1maxCos
62.0%1ux
62.0%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
62.0%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
62.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
62.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes25.0ms (0.2%)

Memory
14.1MiB live, 53.4MiB allocated
Accuracy

Total -11.1b remaining (-85.8%)

Threshold costs -11.1b (-85.8%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (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 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 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 uy #s(literal 2 binary32)) (PI.f32))))
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 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Calls

11 calls:

3.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
2.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
59.8%1ux
59.8%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)))))
59.8%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))))
59.8%1uy
59.8%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
59.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
59.8%1(*.f32 uy #s(literal 2 binary32))
59.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
59.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
59.8%1maxCos
59.8%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))))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
3.427380690368409e-8
3.715848606589134e-8
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01643185503780842
0.019167261198163033
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999130368232727
0.9999375343322754
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999130368232727
0.9999375343322754
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00039821863174438477
0.0005647540092468262
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00039821863174438477
0.0005647540092468262
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997175931930542
0.9998008608818054
Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify62.0ms (0.5%)

Memory
-16.5MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0169950
1328926
2697924
32479894
46796890
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(if (<=.f32 maxCos #s(literal 1231453/35184372088832 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2415919/134217728 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 8387937/8388608 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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 8387937/8388608 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)) (+.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 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(if (<=.f32 (-.f32 #s(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 8589935/17179869184 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 #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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (-.f32 #s(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 8589935/17179869184 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 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 16773861/16777216 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (+.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Outputs
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) 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))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(if (<=.f32 maxCos #s(literal 1231453/35184372088832 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(if (<=.f32 maxCos #s(literal 1231453/35184372088832 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) #s(approx (* (- (- (- (/ 1 ux) (/ (- maxCos 1) ux)) (/ maxCos ux)) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2415919/134217728 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 8387937/8388608 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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 8387937/8388608 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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 8387937/8388608 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)) (+.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 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 8387937/8388608 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)) (+.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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(if (<=.f32 (-.f32 #s(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 8589935/17179869184 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 #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 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (-.f32 #s(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 8589935/17179869184 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 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 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) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (-.f32 #s(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 8589935/17179869184 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 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (-.f32 #s(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 8589935/17179869184 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 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 16773861/16777216 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(literal 16773861/16777216 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) 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 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 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 #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 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos)) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))

soundness1.4s (12.6%)

Memory
15.0MiB live, 1 243.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192267
113692135
253441979
080971886
063428
0109359
1410328
23139322
08645316
07974862
126984418
093004217
093608
0152531
1624460
26147460
09441454
07854696
126414305
089804109
01675
02757
110357
284357
0847653
010637151
136606455
083006178
077495
0128440
1552399
25296399
08112394
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 878 to 1 368 computations (52.5% saved)

preprocess239.0ms (2.1%)

Memory
-34.7MiB live, 189.8MiB allocated
Remove

(negabs uy)

Compiler

Compiled 3 426 to 912 computations (73.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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