UniformSampleCone, y

Time bar (total: 10.6s)

start0.0ms (0%)

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

analyze235.0ms (2.2%)

Memory
24.4MiB live, 262.0MiB allocated; 178ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
0%0%0.1%99.9%0%0%0%3
12.5%0%0.1%99.9%0%0%0%4
18.7%0%0.1%99.9%0%0%0%5
28.1%0%0.1%99.9%0%0%0%6
42.2%0%0.1%99.9%0%0%0%7
49.2%0%0%99.9%0%0%0%8
57.4%0.1%0%99.9%0%0%0%9
67%0.1%0%99.9%0%0%0%10
71.8%0.1%0%99.9%0%0%0%11
76.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 49 to 28 computations (42.9% saved)

sample1.9s (18.2%)

Memory
114.5MiB live, 2 024.8MiB allocated; 1.1s collecting garbage
Samples
1.4s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sinu: 397.0ms (33.6% of total)
ival-mult: 236.0ms (20% of total)
const: 147.0ms (12.4% of total)
ival-<=: 136.0ms (11.5% of total)
ival-sqrt: 87.0ms (7.4% of total)
ival-sub: 86.0ms (7.3% of total)
ival-add: 48.0ms (4.1% of total)
ival-and: 29.0ms (2.5% of total)
exact: 10.0ms (0.8% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain245.0ms (2.3%)

Memory
-110.5MiB live, 295.9MiB allocated; 106ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1832(0.0034658487420529127 2.3668764015383204e-7 2.0852610037382981e-32)2(0.006258050911128521 0.07571619749069214 5.40152970349784e-34)(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
00-0-(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
00-0-maxCos
00-0-(*.f32 ux maxCos)
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
00-0-(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
00-0-uy
00-0-(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
00-0-(*.f32 uy #s(literal 2 binary32))
00-0-(-.f32 #s(literal 1 binary32) ux)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f32(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))cancellation18316
Confusion
Predicted +Predicted -
+1825
-168
Precision
0.994535519125683
Recall
0.9732620320855615
Confusion?
Predicted +Predicted MaybePredicted -
+18250
-11157
Precision?
0.9396984924623115
Recall?
1.0
Freqs
test
numberfreq
073
1183
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
112.0ms510×0valid
0.0ms1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-add: 58.0ms (61.1% of total)
ival-mult: 18.0ms (19% of total)
ival-sinu: 8.0ms (8.4% of total)
ival-sub: 5.0ms (5.3% of total)
ival-sqrt: 3.0ms (3.2% of total)
ival-pi: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess217.0ms (2%)

Memory
39.3MiB live, 178.5MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064238
1213230
2764229
32640229
46541225
01625
02725
15425
214225
345325
4131125
5319625
6734925
0804422
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 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Symmetry

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify165.0ms (1.6%)

Memory
-3.3MiB live, 127.5MiB allocated; 16ms collecting garbage
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-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016108
027108
154108
2142108
3453108
41311108
53196108
67349108
0804496
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 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize81.0ms (0.8%)

Memory
2.4MiB live, 61.5MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3359375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(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))))))
accuracy0.43359375
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy12.275908440979455
(-.f32 #s(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
71.0ms255×0valid
0.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 33.0ms (76.4% of total)
ival-sinu: 4.0ms (9.3% of total)
ival-sub: 2.0ms (4.6% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-pi: 1.0ms (2.3% of total)
ival-add: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-17.2MiB live, 25.7MiB allocated; 7ms collecting garbage
Counts
6 → 73
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(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
8.0ms
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)))
3.0ms
ux
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
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)))

simplify209.0ms (2%)

Memory
8.8MiB live, 241.0MiB allocated; 36ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192265
114722148
265572130
081892026
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)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (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) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) 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))))
(+ (* (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) (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 (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 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (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 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* -1 (* (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)
(* 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 #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)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 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 (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 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)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (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)))))))
(*.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 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -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) (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 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (*.f32 (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)) ux)))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (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 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.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)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* (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 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (*.f32 (*.f32 (neg.f32 ux) maxCos) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (-.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))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (-.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))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (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 (fma.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) 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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) 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 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 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (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 (fma.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (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 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 maxCos 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 (*.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) (sqrt.f32 #s(literal -1 binary32))) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) 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 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite236.0ms (2.2%)

Memory
25.0MiB live, 213.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02754
111054
290854
0839250
Stop Event
iter limit
node limit
iter limit
Counts
6 → 434
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 2 binary32))) #s(literal 1 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 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
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(+.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 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(+.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (*.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 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (*.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 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (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))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) uy) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) uy)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) uy)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) uy)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))

eval145.0ms (1.4%)

Memory
-6.2MiB live, 173.1MiB allocated; 25ms collecting garbage
Compiler

Compiled 32 574 to 3 359 computations (89.7% saved)

prune61.0ms (0.6%)

Memory
-18.9MiB live, 83.2MiB allocated; 17ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New58327610
Fresh000
Picked101
Done000
Total58427611
Accuracy
99.2%
Counts
611 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
60.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.5%
(*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.6%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.7%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.8%
(*.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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
59.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
61.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
60.7%
(*.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 #s(literal 1 binary32)) 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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
59.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
61.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
60.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
63.8%
(*.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))) (fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
45.3%
(*.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 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
22.0%
(*.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)))))
98.5%
(*.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 (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))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.5%
(*.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)))))
30.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (*.f32 maxCos maxCos)))))
57.4%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
54.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
92.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (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) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) 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)))))
94.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (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 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (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)))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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)))))
54.4%
#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))))))
57.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (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))
Compiler

Compiled 2 250 to 1 358 computations (39.6% saved)

simplify198.0ms (1.9%)

Memory
24.1MiB live, 256.9MiB allocated; 59ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
cost-diff0
(*.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))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff4
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
cost-diff1
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
cost-diff0
#s(approx (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-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056649
096604
1182604
2383604
31058604
43076604
57251604
08311589
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 (* (+ (- 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)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(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 (*.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))))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
#s(literal 2 binary32)
(*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))
(sin.f32 (*.f32 uy (PI.f32)))
(*.f32 uy (PI.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)))))
(-.f32 #s(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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.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)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.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)
(PI.f32)
(sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (*.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))))))
(*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))
#s(literal 2 binary32)
(*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))
(sin.f32 (*.f32 uy (PI.f32)))
(sin.f32 (*.f32 (PI.f32) uy))
(*.f32 uy (PI.f32))
(*.f32 (PI.f32) uy)
uy
(PI.f32)
(cos.f32 (*.f32 uy (PI.f32)))
(cos.f32 (*.f32 (PI.f32) uy))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize211.0ms (2%)

Memory
-8.2MiB live, 318.6MiB allocated; 108ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(*.f32 uy (PI.f32))
accuracy0.3359375
(*.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))))))
accuracy0.43359375
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy12.275908440979455
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.34375
(*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32)))
accuracy0.36556625976844204
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy0.43359375
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy12.275908440979455
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.11166000976844201
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.3125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3359375
(*.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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
accuracy13.181595279036365
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
accuracy0.3359375
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy0.43359375
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy4.965047420444158
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy12.275908440979455
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.11166000976844201
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.3125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3359375
(*.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)))))
accuracy0.39291000976844204
(*.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))
Samples
163.0ms255×0valid
1.0ms1valid
Compiler

Compiled 603 to 48 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-sub: 36.0ms (30.9% of total)
ival-mult: 35.0ms (30.1% of total)
ival-sqrt: 19.0ms (16.3% of total)
ival-sinu: 8.0ms (6.9% of total)
ival-add: 6.0ms (5.2% of total)
ival-cosu: 3.0ms (2.6% of total)
ival-sin: 3.0ms (2.6% of total)
ival-pow2: 3.0ms (2.6% of total)
ival-div: 2.0ms (1.7% of total)
ival-neg: 1.0ms (0.9% of total)
ival-pi: 1.0ms (0.9% 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)

series52.0ms (0.5%)

Memory
34.6MiB live, 78.5MiB allocated; 12ms collecting garbage
Counts
18 → 153
Calls
Call 1
Inputs
(*.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)))))
(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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(*.f32 (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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.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))))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.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 2 binary32) uy) (sqrt.f32 (PI.f32)))
(*.f32 uy (PI.f32))
Outputs
(* (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 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))
(+ (* -1 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6))))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 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) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* (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))))))))
(* 2 uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* 2 (* uy (sqrt (PI))))
(* uy (PI))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* (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 ux)
(- (+ 1 (* maxCos ux)) ux)
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* -2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(* (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))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -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 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* ux (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) maxCos)) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* (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
11.0ms
uy
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (sin (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (sqrt (PI))) (* uy (PI)))
7.0ms
ux
@inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (sin (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (sqrt (PI))) (* uy (PI)))
5.0ms
ux
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (sin (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (sqrt (PI))) (* uy (PI)))
4.0ms
uy
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (sin (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (sqrt (PI))) (* uy (PI)))
4.0ms
maxCos
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (sin (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (sqrt (PI))) (* uy (PI)))

simplify203.0ms (1.9%)

Memory
8.6MiB live, 240.1MiB allocated; 56ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09616572
136446462
081336147
Stop Event
iter limit
node limit
Counts
153 → 153
Calls
Call 1
Inputs
(* (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 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))
(+ (* -1 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6))))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 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) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* (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))))))))
(* 2 uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* 2 (* uy (sqrt (PI))))
(* uy (PI))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* (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 ux)
(- (+ 1 (* maxCos ux)) ux)
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* -2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(* (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))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -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 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* ux (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) maxCos)) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* (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
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (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 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (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) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(+ (* -1 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))))
(fma.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 (PI.f32) uy)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 (PI.f32) uy)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/4 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (cos.f32 (*.f32 (PI.f32) uy))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 (PI.f32) uy))) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) ux) (*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.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) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.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 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.f32 ux ux))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
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(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) uy))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 ux ux)) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 ux ux)) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 #s(literal -1 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) (pow (- maxCos 1) 2))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* 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 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) 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) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #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)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux) (*.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) ux) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) uy))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1/4 binary32) ux) (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) ux) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/4 binary32))) ux))) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.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 (+ (* -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 (fma.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)))) (*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) 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 (fma.f32 (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(* 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)
(*.f32 #s(literal 2 binary32) uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy))) #s(literal 4/15 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (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)))) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (*.f32 uy uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 uy uy) (*.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) #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)))) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/240 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32)))) (*.f32 uy uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))) (*.f32 uy uy))) (*.f32 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)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (*.f32 uy uy)))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/240 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32)))) (*.f32 uy uy) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) #s(literal 2 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* uy (sqrt (PI))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(* uy (PI))
(*.f32 (PI.f32) uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (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)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (sin.f32 (*.f32 (PI.f32) uy)))
(* (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 #s(literal 2 binary32) uy) (PI.f32))))
(+ (* -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 maxCos ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* 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 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) ux) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* (- 1 ux) (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(* 2 (* (* (cos (* uy (PI))) (sin (* 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)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(+ (* -2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))))
(fma.f32 (*.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #s(literal -2 binary32) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(fma.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 maxCos (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 ux (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -2 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(fma.f32 (fma.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (*.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 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (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 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (*.f32 ux (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -2 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux)) 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 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) 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 (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (+.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux)))) maxCos)
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(*.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (PI.f32) uy))) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32))))))) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 maxCos ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux (/.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (neg.f32 ux) ux (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos))) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux) (*.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(*.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal -2 binary32))
(* -1 (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* ux (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (*.f32 ux (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) maxCos)) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sin.f32 (*.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite325.0ms (3.1%)

Memory
-15.3MiB live, 422.3MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056280
096197
1315197
22143197
09196197
Stop Event
iter limit
node limit
iter limit
Counts
18 → 924
Calls
Call 1
Inputs
(*.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)))))
(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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(*.f32 (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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.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))))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.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 2 binary32) uy) (sqrt.f32 (PI.f32)))
(*.f32 uy (PI.f32))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 (PI.f32) uy))) (sin.f32 (*.f32 (PI.f32) uy)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (cos.f32 (*.f32 (PI.f32) uy)))
(*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32))
(*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)))
(*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (+.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(/.f32 (fma.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal -2 binary32) (*.f32 #s(literal -2 binary32) (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy))) (cos.f32 (+.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy)))))) #s(literal -4 binary32))
(/.f32 (fma.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) uy) (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (fma.f32 (PI.f32) uy (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32)))))))) #s(literal -4 binary32))
(/.f32 (fma.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))) #s(literal -4 binary32))
(/.f32 (fma.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy))) (cos.f32 (+.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy)))) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))) #s(literal -4 binary32))
(/.f32 (fma.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy))) (cos.f32 (+.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy)))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy))) (cos.f32 (+.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy)))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy))) (cos.f32 (+.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy)))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) uy) (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (fma.f32 (PI.f32) uy (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32)))))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy))) (cos.f32 (+.f32 (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) uy)))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) uy) (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (fma.f32 (PI.f32) uy (fma.f32 (PI.f32) uy (/.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))) #s(literal -4 binary32))
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(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (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 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 #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 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(fma.f32 (sqrt.f32 (PI.f32)) uy (*.f32 (sqrt.f32 (PI.f32)) uy))
(fma.f32 uy (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy))
(+.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) uy))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) uy))
(*.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy))
(*.f32 (PI.f32) uy)
(*.f32 uy (PI.f32))

eval453.0ms (4.3%)

Memory
-30.1MiB live, 668.5MiB allocated; 131ms collecting garbage
Compiler

Compiled 200 823 to 7 642 computations (96.2% saved)

prune147.0ms (1.4%)

Memory
-1.5MiB live, 234.8MiB allocated; 15ms collecting garbage
Pruning

53 alts after pruning (53 fresh and 0 done)

PrunedKeptTotal
New2 707482 755
Fresh17522
Picked505
Done000
Total2 729532 782
Accuracy
99.9%
Counts
2 782 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
98.2%
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.4%
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32)) (cos.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.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)))))
60.8%
(*.f32 (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))
59.4%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
73.9%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.5%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
98.3%
(*.f32 (sin.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
60.6%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
97.4%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.0%
(*.f32 (sin.f32 (*.f32 (/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy)))) (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)))))
97.4%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #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)))))
60.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
59.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
73.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
59.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
61.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
98.5%
(*.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 (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))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
98.5%
(*.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))))
54.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))))))
93.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
54.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))))))
59.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.f32 ux ux)))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
93.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
57.5%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
91.0%
(*.f32 #s(approx (sin (* (* uy 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)) (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)))))
53.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.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))))
54.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
53.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
53.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
55.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
54.5%
(*.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))))))
27.4%
(*.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)) #s(literal 1 binary32))))))
43.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
21.6%
(*.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 maxCos maxCos) (*.f32 ux ux))))))
65.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (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)))))
3.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
92.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
94.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (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 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (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)))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
57.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy))
54.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
60.7%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
Compiler

Compiled 5 154 to 3 078 computations (40.3% saved)

simplify140.0ms (1.3%)

Memory
17.7MiB live, 199.0MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
cost-diff1
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff2
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
cost-diff7
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
cost-diff4
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
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 (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
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-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881009
01401005
1250990
2551965
31688965
44473941
08197895
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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(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 (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
#s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 ux #s(literal 1 binary32))
ux
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
ux
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))
(*.f32 (*.f32 ux ux) maxCos)
maxCos
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))
(pow.f32 ux #s(literal 3 binary32))
ux
#s(literal 3 binary32)
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal -1 binary32)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(PI.f32)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1/2 binary32)
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)
Outputs
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (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 (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
#s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 ux #s(literal 1 binary32))
ux
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) ux) ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) ux) ux)))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) ux) ux))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) ux) ux)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
ux
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))
(*.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux) maxCos)
(*.f32 (*.f32 ux ux) maxCos)
maxCos
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32))))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32))))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)))
(pow.f32 ux #s(literal 3 binary32))
ux
#s(literal 3 binary32)
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32))
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))
#s(literal -1 binary32)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(PI.f32)
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1/2 binary32)
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) ux)) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))
(sqrt.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) ux))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)
(*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) ux)

localize229.0ms (2.2%)

Memory
5.1MiB live, 255.7MiB allocated; 36ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
accuracy0.3359375
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
accuracy0.37109375
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
accuracy3.4528532914440424
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
accuracy0.3125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3359375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
accuracy0.395195019536884
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
accuracy2.604682010490571
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))
accuracy0.3125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3359375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
accuracy1.816481221878301
#s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
accuracy13.104800902379527
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.3125
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy0.3359375
(*.f32 #s(approx (sin (* (* uy 2) (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))))
accuracy4.965047420444158
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy8.944696362518211
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy0.17578125
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
accuracy0.3125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3359375
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
accuracy0.40625
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
Samples
125.0ms252×0valid
3.0ms1valid
Compiler

Compiled 738 to 70 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 52.0ms (52.7% of total)
ival-sub: 10.0ms (10.1% of total)
ival-add: 9.0ms (9.1% of total)
ival-sinu: 8.0ms (8.1% of total)
ival-sqrt: 6.0ms (6.1% of total)
ival-div: 5.0ms (5.1% of total)
ival-pow2: 3.0ms (3% of total)
ival-pow: 3.0ms (3% of total)
adjust: 1.0ms (1% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series101.0ms (0.9%)

Memory
-26.6MiB live, 118.6MiB allocated; 20ms collecting garbage
Counts
24 → 183
Calls
Call 1
Inputs
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(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 #s(approx (sin (* (* uy 2) (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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
#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 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
#s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (- (* 2 maxCos) 1)))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* 2 ux)
(* ux (+ 2 (* -1 ux)))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(* -2 (* maxCos ux))
(* ux (+ (* -2 maxCos) (* 2 (* maxCos ux))))
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* (pow ux 2) (- (* 2 maxCos) 1))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (+ (* 2 maxCos) (* 2 (/ 1 ux)))) 1))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1)))))
(* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (sin (* 2 (* uy (PI)))))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* 2 (* maxCos (pow ux 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (* 2 maxCos)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (- (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* 2 maxCos)) 1))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))
(* (pow ux 2) (+ (* -1 (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* ux (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))))
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (+ (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 7))) (* -4/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 7) (* (- 1 maxCos) (- maxCos 1))))))))))))))))
(* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(* uy (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(* uy (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos 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)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2))))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))) (* 1/2 (+ (* -1 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
2
(+ 2 (* -1 maxCos))
(* ux (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 2)) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/2 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 3)) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/2 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 5)) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(+ (* 1/4 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 1/2)) (sqrt (pow ux 3)))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))) (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* 1/2 (/ (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 3))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (+ (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -1 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 1))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (sqrt -2)))
(* maxCos (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))
(* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))))))
(* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow maxCos 7) (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* 1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt -1/2) 2))) (* 1/2 (pow ux 3)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/2 (/ (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))))) (* (sqrt (* maxCos ux)) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) maxCos)) (* -1/2 (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 1 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 1)) maxCos)) (* ux (- (* 2 (/ 1 ux)) 2))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (* maxCos (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ (* -1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt 1/2) 2))) (* 1/2 (pow ux 3))))) (sqrt 1/2))))) (pow maxCos 3))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
ux
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (- (+ (* -1 (- maxCos 1)) 1) maxCos) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* (- ux 1) (- 1 ux)) 1) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (* 2 uy) (PI)))
7.0ms
ux
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (- (+ (* -1 (- maxCos 1)) 1) maxCos) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* (- ux 1) (- 1 ux)) 1) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (* 2 uy) (PI)))
7.0ms
maxCos
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (- (+ (* -1 (- maxCos 1)) 1) maxCos) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* (- ux 1) (- 1 ux)) 1) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (* 2 uy) (PI)))
7.0ms
maxCos
@inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (- (+ (* -1 (- maxCos 1)) 1) maxCos) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* (- ux 1) (- 1 ux)) 1) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (* 2 uy) (PI)))
7.0ms
uy
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (- (+ (* -1 (- maxCos 1)) 1) maxCos) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* (- ux 1) (- 1 ux)) 1) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (* 2 uy) (PI)))

simplify217.0ms (2%)

Memory
40.5MiB live, 266.8MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011538264
142378110
087347760
Stop Event
iter limit
node limit
Counts
183 → 183
Calls
Call 1
Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (- (* 2 maxCos) 1)))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* 2 ux)
(* ux (+ 2 (* -1 ux)))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(* -2 (* maxCos ux))
(* ux (+ (* -2 maxCos) (* 2 (* maxCos ux))))
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* (pow ux 2) (- (* 2 maxCos) 1))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (+ (* 2 maxCos) (* 2 (/ 1 ux)))) 1))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1)))))
(* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (sin (* 2 (* uy (PI)))))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* 2 (* maxCos (pow ux 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (* 2 maxCos)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (- (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* 2 maxCos)) 1))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))
(* (pow ux 2) (+ (* -1 (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* ux (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))))
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (+ (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 7))) (* -4/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 7) (* (- 1 maxCos) (- maxCos 1))))))))))))))))
(* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(* uy (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(* uy (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos 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)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2))))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))) (* 1/2 (+ (* -1 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
2
(+ 2 (* -1 maxCos))
(* ux (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 2)) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/2 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 3)) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/2 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 5)) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(+ (* 1/4 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 1/2)) (sqrt (pow ux 3)))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))) (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* 1/2 (/ (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 3))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (+ (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -1 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 1))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (sqrt -2)))
(* maxCos (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))
(* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))))))
(* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow maxCos 7) (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* 1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt -1/2) 2))) (* 1/2 (pow ux 3)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/2 (/ (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))))) (* (sqrt (* maxCos ux)) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) maxCos)) (* -1/2 (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 1 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 1)) maxCos)) (* ux (- (* 2 (/ 1 ux)) 2))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (* maxCos (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ (* -1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt 1/2) 2))) (* 1/2 (pow ux 3))))) (sqrt 1/2))))) (pow maxCos 3))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
Outputs
(* (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (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 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 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 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.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 (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* ux (- (* 2 maxCos) 1)))))
(*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* 2 ux)
(*.f32 #s(literal 2 binary32) ux)
(* ux (+ 2 (* -1 ux)))
(*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux)
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)
(* -2 (* maxCos ux))
(*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)
(* ux (+ (* -2 maxCos) (* 2 (* maxCos ux))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) maxCos) ux (*.f32 #s(literal -2 binary32) maxCos)) ux)
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (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))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (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))))) (+ (* 1/16 (/ (* (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) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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 (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* (pow ux 2) (- (* 2 maxCos) 1))
(*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (+ (* 2 maxCos) (* 2 (/ 1 ux)))) 1))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 2 binary32) ux))) #s(literal 1 binary32)) (*.f32 ux ux))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1)))))
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(* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (sin (* 2 (* uy (PI)))))))
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(* -1 (* ux (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* -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 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
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(* 2 (* maxCos (pow ux 2)))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) #s(literal 2 binary32))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (* 2 maxCos)))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) ux)
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* (pow ux 2) (- (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* 2 maxCos)) 1))
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(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))
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(* (pow ux 2) (+ (* -1 (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))))
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(* -1 (* ux (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 1) 2))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
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(* -1 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))))
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(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
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(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy))) #s(literal 4/15 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (fma.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -2/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 2/15 binary32))) (*.f32 uy uy)))) (*.f32 uy uy)))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (+ (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 7))) (* -4/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 7) (* (- 1 maxCos) (- maxCos 1))))))))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 2/15 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -4/315 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) #s(literal 4/15 binary32)))) (*.f32 uy uy)))) (*.f32 uy uy)))) uy)
(* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (*.f32 (PI.f32) uy)) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -8/315 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 uy uy)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32))) uy)
(* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (PI.f32) uy))
(* uy (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy)) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -4/3 binary32))) uy)
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy)) (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32))) uy)
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 uy uy)) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -8/315 binary32))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32))) 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 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (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)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* 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)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 ux) (fma.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) maxCos (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))) maxCos)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2))))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))) (* 1/2 (+ (* -1 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 ux) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (/.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) maxCos (*.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))) maxCos (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))) maxCos)))
2
#s(literal 2 binary32)
(+ 2 (* -1 maxCos))
(fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32))
(* ux (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(+ (* maxCos (+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (* (- 1 ux) (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux))
(+ (* -1 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 2)) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (neg.f32 (sqrt.f32 ux)) (*.f32 maxCos (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/2 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 3)) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (fma.f32 (neg.f32 (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (/.f32 maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 ux)) #s(literal -1/2 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/2 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 5)) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 ux)))) maxCos (*.f32 (neg.f32 (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))))
(+ (* 1/4 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 1/2)) (sqrt (pow ux 3)))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 maxCos (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) #s(literal 1/4 binary32)))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))) (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 maxCos (/.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1/2 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))))
(+ (* maxCos (+ (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32)))) maxCos (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (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 (+ (/ (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #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 (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (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) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (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) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(* maxCos (+ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) maxCos) (/.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))))) maxCos) (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* 1/2 (/ (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 3))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (+ (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) maxCos) (/.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))))) maxCos) (fma.f32 (/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) #s(literal -1/4 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (fma.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))))) (*.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)
(* -1 maxCos)
(neg.f32 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) maxCos)
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 maxCos maxCos) (neg.f32 ux))
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (neg.f32 ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (/.f32 ux maxCos) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos)) (neg.f32 ux)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (*.f32 (neg.f32 ux) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (sqrt -2)))
(*.f32 (sqrt.f32 (*.f32 maxCos ux)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 ux maxCos)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))))) maxCos)
(* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 ux maxCos)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))))) maxCos)
(* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ ux (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 ux maxCos)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))))))) maxCos)
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))
(fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)))) #s(literal -1/4 binary32))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow maxCos 7) (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* 1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt -1/2) 2))) (* 1/2 (pow ux 3)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(fma.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) #s(literal -1/2 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 ux #s(literal 3 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 7 binary32))) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)))) #s(literal -1/4 binary32)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (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)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (*.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/2 (/ (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (fma.f32 (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))) maxCos) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos))))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))))) (* (sqrt (* maxCos ux)) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) maxCos)) (* -1/2 (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (*.f32 maxCos ux)))) (neg.f32 maxCos))) (neg.f32 maxCos)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 1 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos))))
(*.f32 (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 1)) maxCos)) (* ux (- (* 2 (/ 1 ux)) 2))) maxCos))))
(*.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (neg.f32 ux) ux (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos))) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(*.f32 (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (*.f32 maxCos ux)))
(* -1 (* maxCos (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)))))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(fma.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32))))) #s(literal -1/4 binary32))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (* maxCos (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ (* -1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt 1/2) 2))) (* 1/2 (pow ux 3))))) (sqrt 1/2))))) (pow maxCos 3))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 maxCos (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32))) #s(literal -1/16 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 ux #s(literal 3 binary32))))) (sqrt.f32 #s(literal 1/2 binary32))))) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32))))

rewrite194.0ms (1.8%)

Memory
-12.2MiB live, 240.7MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088512
0140467
1479458
23531458
08190449
Stop Event
iter limit
node limit
iter limit
Counts
24 → 276
Calls
Call 1
Inputs
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(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 #s(approx (sin (* (* uy 2) (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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
#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 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
#s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
Outputs
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.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 (PI.f32) uy))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))
(fma.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 uy uy) (*.f32 uy uy)) (-.f32 uy uy))
(/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy))))
(+.f32 uy uy)
(*.f32 (sqrt.f32 #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))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.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 (PI.f32) uy))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))
(fma.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (PI.f32))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (sqrt.f32 (neg.f32 (PI.f32))) (sqrt.f32 (neg.f32 (PI.f32))) (PI.f32))
(fma.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (PI.f32))
(fma.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (PI.f32))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)) (PI.f32))
(fma.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) (PI.f32))
(fma.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (PI.f32))
(fma.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (PI.f32))
(+.f32 (PI.f32) (PI.f32))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (*.f32 ux ux) (+.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))
(*.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) (*.f32 (pow.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))
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(-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)) (*.f32 (neg.f32 (*.f32 ux ux)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))
(-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)) (*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))
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(fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
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(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)))
(fma.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(fma.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 (neg.f32 (*.f32 (neg.f32 maxCos) (*.f32 ux ux))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(fma.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(fma.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(fma.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(fma.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 (neg.f32 maxCos) (*.f32 ux ux))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(fma.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (neg.f32 (*.f32 (neg.f32 maxCos) (*.f32 ux ux))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) (*.f32 maxCos ux)))
(fma.f32 maxCos (*.f32 (*.f32 ux ux) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
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(fma.f32 ux (*.f32 ux (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
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(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
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(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos))
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(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal -1 binary32)))
(fma.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))
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(+.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (-.f32 maxCos #s(literal 1 binary32))))
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#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
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(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) #s(literal 1 binary32))
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(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
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(+.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
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#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
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(/.f32 (*.f32 (-.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 ux ux) maxCos)) (fma.f32 (/.f32 #s(literal 2 binary32) ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) #s(literal 4 binary32)))
(/.f32 (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 ux ux)))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 8 binary32) (/.f32 #s(literal -8 binary32) (pow.f32 ux #s(literal 3 binary32))))) (fma.f32 (/.f32 #s(literal 2 binary32) ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux))
(*.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)) (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))))
(/.f32 (*.f32 (pow.f32 ux #s(literal 3/2 binary32)) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (pow.f32 ux #s(literal 3/2 binary32))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.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 (PI.f32) uy))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))
(fma.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))

eval82.0ms (0.8%)

Memory
13.6MiB live, 104.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 40 336 to 3 093 computations (92.3% saved)

prune94.0ms (0.9%)

Memory
2.6MiB live, 188.8MiB allocated; 18ms collecting garbage
Pruning

72 alts after pruning (72 fresh and 0 done)

PrunedKeptTotal
New48644530
Fresh202848
Picked505
Done000
Total51172583
Accuracy
100.0%
Counts
583 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
98.2%
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
60.8%
(*.f32 (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))
97.7%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
59.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
73.9%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
97.8%
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
97.5%
(*.f32 (sin.f32 (fma.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
96.6%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
59.1%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
97.3%
(*.f32 (sin.f32 (*.f32 (/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy)))) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
59.2%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
96.7%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
60.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
59.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
73.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
59.1%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
59.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
61.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.5%
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
93.7%
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux))))
50.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (/.f32 ux maxCos) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos)) (neg.f32 ux)) (*.f32 maxCos maxCos))) ux))))
97.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) #s(approx (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))))
54.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))))))
93.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
87.5%
(*.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (neg.f32 ux))) #s(literal 1 binary32)) (*.f32 ux ux)))))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
93.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux)))))
70.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
93.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
91.0%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
90.3%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
56.1%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
65.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (fma.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
65.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
83.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
53.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
53.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.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))))
54.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
53.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
53.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
55.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
54.5%
(*.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))))))
27.4%
(*.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)) #s(literal 1 binary32))))))
43.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
3.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
92.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 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)))))
94.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (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 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (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)))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 #s(approx (- (+ (* -1 (- maxCos 1)) 1) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
84.6%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) #s(approx (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32))) uy))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
87.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 #s(approx (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy)) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -4/3 binary32))) uy)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
87.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 #s(approx (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (PI.f32) uy))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
88.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)) (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
54.8%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))))
57.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy))
54.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
60.7%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
76.6%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))))) uy)))
88.0%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 ux ux))))
Compiler

Compiled 8 716 to 4 998 computations (42.7% saved)

simplify170.0ms (1.6%)

Memory
-17.8MiB live, 167.1MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
cost-diff0
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
cost-diff1
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff7
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
cost-diff3
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
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 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff0
(+.f32 (PI.f32) (PI.f32))
cost-diff0
(*.f32 (+.f32 (PI.f32) (PI.f32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
cost-diff2
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos))
cost-diff2
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021320
01631319
13021264
27181239
324501233
461571233
084311180
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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))
(*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)))
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) ux)
ux
(*.f32 (neg.f32 ux) maxCos)
(neg.f32 ux)
maxCos
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy))
(*.f32 (+.f32 (PI.f32) (PI.f32)) uy)
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
#s(literal 2 binary32)
ux
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)))
#s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))
(*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) ux)
ux
(*.f32 ux ux)
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
#s(literal 1 binary32)
maxCos
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal -1 binary32)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(sqrt.f32 ux)
ux
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(-.f32 #s(literal 1 binary32) maxCos)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))))
(sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))
Outputs
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 ux (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))) 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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 ux (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 ux (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))) ux))
(*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)
(*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 ux (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))) ux)
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 ux (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))))
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 ux (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) ux)
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) ux)
ux
(*.f32 (neg.f32 ux) maxCos)
(neg.f32 ux)
maxCos
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sqrt.f32 #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) (PI.f32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (+.f32 (PI.f32) (PI.f32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(+.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #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
#s(literal 2 binary32)
ux
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #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))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) maxCos))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) maxCos)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) maxCos))))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)))
#s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) maxCos)))
#s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))
#s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) maxCos))
(*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)
(*.f32 (*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) maxCos)
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
(*.f32 (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))
(/.f32 #s(literal 2 binary32) ux)
ux
(*.f32 ux ux)
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
(/.f32 (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux) maxCos)
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
#s(literal 1 binary32)
maxCos
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (sqrt.f32 (/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)))) (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (sqrt.f32 ux) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (sqrt.f32 (/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)))) (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (sqrt.f32 ux) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos))
(-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)
(-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))
#s(literal -1 binary32)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(sqrt.f32 ux)
ux
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux) (sqrt.f32 (/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) maxCos)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos))) ux) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))))
(*.f32 (sqrt.f32 (/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos))) ux)
(sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(sqrt.f32 (/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos)))
(/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))
(/.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos))

localize289.0ms (2.7%)

Memory
-9.1MiB live, 325.3MiB allocated; 57ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3203125
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
accuracy0.3203125
(*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
accuracy1.8742425144392387
(PI.f32)
accuracy2.437650226451613
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
accuracy0.28515625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.328125
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
accuracy1.8742425144392387
(PI.f32)
accuracy3.350705953226499
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
accuracy0.328125
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
accuracy0.41796875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy1.8742425144392387
(PI.f32)
accuracy12.251807171442572
(-.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))))
accuracy0.328125
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
accuracy1.8742425144392387
(PI.f32)
accuracy4.48862993571221
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy))
accuracy7.610588272720893
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy0.28515625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.328125
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
accuracy0.35546875
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
accuracy1.8742425144392387
(PI.f32)
Samples
151.0ms235×0valid
43.0ms16×5exit
5.0ms1valid
Compiler

Compiled 831 to 79 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-mult: 54.0ms (33.7% of total)
ival-div: 44.0ms (27.5% of total)
ival-add: 15.0ms (9.4% of total)
adjust: 14.0ms (8.7% of total)
ival-sub: 10.0ms (6.2% of total)
ival-sqrt: 9.0ms (5.6% of total)
ival-sinu: 8.0ms (5% of total)
ival-pow2: 3.0ms (1.9% of total)
ival-neg: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory
12.6MiB live, 97.2MiB allocated; 14ms collecting garbage
Counts
24 → 196
Calls
Call 1
Inputs
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy))
(*.f32 (+.f32 (PI.f32) (PI.f32)) uy)
(+.f32 (PI.f32) (PI.f32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(PI.f32)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 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 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
(*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Outputs
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* ux (- (* maxCos (+ 2 (* -1 maxCos))) 1))))
-2
(- (* ux (+ 2 (* -1 maxCos))) 2)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- (* 2 (/ 1 maxCos)) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
2
(+ 2 (* -1 ux))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* 2 (/ ux maxCos))
(* ux (+ (* -1 (/ ux maxCos)) (* 2 (/ 1 maxCos))))
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(* ux (- (* maxCos (+ 2 (* -1 maxCos))) 1))
(* ux (- (+ (* -2 (/ maxCos ux)) (+ (* maxCos (+ 2 (* -1 maxCos))) (* 2 (/ 1 ux)))) 1))
(* ux (+ 2 (* -1 maxCos)))
(* ux (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1)))))
(* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (sin (* 2 (* uy (PI)))))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 ux)
(* ux (- (* 2 (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (/ (pow ux 2) maxCos))
(* (pow ux 2) (- (* 2 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(* -1 (* ux (+ 1 (* maxCos (- maxCos 2)))))
(* -1 (* ux (+ 1 (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* maxCos (- maxCos 2))))))
(* -1 (* ux (- maxCos 2)))
(* -1 (* ux (- (+ maxCos (* 2 (/ 1 ux))) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* -1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))
(* (pow ux 2) (+ (* -1 (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* ux (- 1 (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 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))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (+ (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 7))) (* -4/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 7) (* (- 1 maxCos) (- maxCos 1))))))))))))))))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))
(* uy (+ (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 4/15 (* (pow (PI) 5) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))))))
(* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(* uy (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(+ (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(* ux (- 2 (* 2 (/ 1 ux))))
(+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)
(/ (+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) maxCos)
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2))))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))) (* 1/2 (+ (* -1 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ 2 (* -1 maxCos))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(+ (* -1 (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 2))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* maxCos (+ (* -1 (/ (sin (* 2 (* uy (PI)))) (sqrt 2))) (* -1/2 (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* maxCos (+ (* -1 (/ (sin (* 2 (* uy (PI)))) (sqrt 2))) (* maxCos (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3))) (* -1/2 (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 5))))))) (* (sin (* 2 (* uy (PI)))) (sqrt 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))
(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))
(* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(+ (* 1/4 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 1/2)) (sqrt (pow ux 3)))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))) (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 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)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow ux 2) (- 2 (* 2 (/ 1 ux))))
(+ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* 1/2 (/ (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 3))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (+ (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))))
(* -1 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 1))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (sqrt maxCos) (* (sin (* 2 (* uy (PI)))) (sqrt -2)))
(* maxCos (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))
(* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))))))
(* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 7))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (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))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow maxCos 7) (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* 1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt -1/2) 2))) (* 1/2 (pow ux 3)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ (* -1 (* ux (- 2 (* 2 (/ 1 ux))))) (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 1)) maxCos))) maxCos))))
(* -1 (* maxCos (+ ux (* -1 (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/2 (/ (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))))) (* (sqrt (* maxCos ux)) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) maxCos)) (* -1/2 (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* maxCos (- 1 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (sqrt maxCos) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(* (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)))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (* maxCos (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ (* -1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt 1/2) 2))) (* 1/2 (pow ux 3))))) (sqrt 1/2))))) (pow maxCos 3))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
maxCos
@-inf
((+ (* (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) maxCos) (* (- (/ 2 ux) 1) ux)) (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sqrt ux)) (* (* (- 1 maxCos) (* (- maxCos 1) 1/2)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (PI) (* (- (/ 2 ux) 1) ux) (- 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))) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))
8.0ms
uy
@-inf
((+ (* (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) maxCos) (* (- (/ 2 ux) 1) ux)) (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sqrt ux)) (* (* (- 1 maxCos) (* (- maxCos 1) 1/2)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (PI) (* (- (/ 2 ux) 1) ux) (- 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))) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))
6.0ms
ux
@-inf
((+ (* (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) maxCos) (* (- (/ 2 ux) 1) ux)) (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sqrt ux)) (* (* (- 1 maxCos) (* (- maxCos 1) 1/2)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (PI) (* (- (/ 2 ux) 1) ux) (- 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))) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))
5.0ms
ux
@inf
((+ (* (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) maxCos) (* (- (/ 2 ux) 1) ux)) (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sqrt ux)) (* (* (- 1 maxCos) (* (- maxCos 1) 1/2)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (PI) (* (- (/ 2 ux) 1) ux) (- 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))) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))
5.0ms
ux
@0
((+ (* (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) maxCos) (* (- (/ 2 ux) 1) ux)) (+ (* (- 2 (/ 2 ux)) ux) (* (neg ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sqrt ux)) (* (* (- 1 maxCos) (* (- maxCos 1) 1/2)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))) (+ (* -1 (- maxCos 1)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (PI) (* (- (/ 2 ux) 1) ux) (- 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))) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (* (* ux (sqrt (/ ux (- (+ (* -1 (- maxCos 1)) 1) maxCos)))) (sin (* (PI) (* 2 uy)))))

simplify229.0ms (2.2%)

Memory
36.2MiB live, 320.5MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011668123
142137981
087307640
Stop Event
iter limit
node limit
Counts
196 → 196
Calls
Call 1
Inputs
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* ux (- (* maxCos (+ 2 (* -1 maxCos))) 1))))
-2
(- (* ux (+ 2 (* -1 maxCos))) 2)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- (* 2 (/ 1 maxCos)) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
2
(+ 2 (* -1 ux))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* 2 (/ ux maxCos))
(* ux (+ (* -1 (/ ux maxCos)) (* 2 (/ 1 maxCos))))
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(* ux (- (* maxCos (+ 2 (* -1 maxCos))) 1))
(* ux (- (+ (* -2 (/ maxCos ux)) (+ (* maxCos (+ 2 (* -1 maxCos))) (* 2 (/ 1 ux)))) 1))
(* ux (+ 2 (* -1 maxCos)))
(* ux (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1)))))
(* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (sin (* 2 (* uy (PI)))))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 ux)
(* ux (- (* 2 (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (/ (pow ux 2) maxCos))
(* (pow ux 2) (- (* 2 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(* -1 (* ux (+ 1 (* maxCos (- maxCos 2)))))
(* -1 (* ux (+ 1 (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* maxCos (- maxCos 2))))))
(* -1 (* ux (- maxCos 2)))
(* -1 (* ux (- (+ maxCos (* 2 (/ 1 ux))) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* -1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))
(* (pow ux 2) (+ (* -1 (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* ux (- 1 (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 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))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (+ (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 7))) (* -4/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 7) (* (- 1 maxCos) (- maxCos 1))))))))))))))))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))
(* uy (+ (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 4/15 (* (pow (PI) 5) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))))))
(* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(* uy (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(+ (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(* ux (- 2 (* 2 (/ 1 ux))))
(+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)
(/ (+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) maxCos)
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2))))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))) (* 1/2 (+ (* -1 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(+ 2 (* -1 maxCos))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(+ (* -1 (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 2))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* maxCos (+ (* -1 (/ (sin (* 2 (* uy (PI)))) (sqrt 2))) (* -1/2 (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* maxCos (+ (* -1 (/ (sin (* 2 (* uy (PI)))) (sqrt 2))) (* maxCos (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3))) (* -1/2 (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 5))))))) (* (sin (* 2 (* uy (PI)))) (sqrt 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))
(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))
(* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(+ (* 1/4 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 1/2)) (sqrt (pow ux 3)))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))) (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* maxCos (+ (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 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)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow ux 2) (- 2 (* 2 (/ 1 ux))))
(+ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* 1/2 (/ (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 3))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (+ (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))))
(* -1 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 1))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (sqrt maxCos) (* (sin (* 2 (* uy (PI)))) (sqrt -2)))
(* maxCos (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))
(* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))))))
(* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 7))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (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))))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow maxCos 7) (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* 1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt -1/2) 2))) (* 1/2 (pow ux 3)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ (* -1 (* ux (- 2 (* 2 (/ 1 ux))))) (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 1)) maxCos))) maxCos))))
(* -1 (* maxCos (+ ux (* -1 (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/2 (/ (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))))) (* (sqrt (* maxCos ux)) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) maxCos)) (* -1/2 (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* maxCos (- 1 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (sqrt maxCos) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(* (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)))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (* maxCos (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ (* -1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt 1/2) 2))) (* 1/2 (pow ux 3))))) (sqrt 1/2))))) (pow maxCos 3))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
Outputs
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* ux (- (* maxCos (+ 2 (* -1 maxCos))) 1))))
(+.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32))
-2
#s(literal -2 binary32)
(- (* ux (+ 2 (* -1 maxCos))) 2)
(-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux) #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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (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 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (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 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux)
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -1 ux))
(fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* 2 (/ ux maxCos))
(*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))
(* ux (+ (* -1 (/ ux maxCos)) (* 2 (/ 1 maxCos))))
(*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) maxCos) ux)
(* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* ux (- (* maxCos (+ 2 (* -1 maxCos))) 1))
(*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ (* -2 (/ maxCos ux)) (+ (* maxCos (+ 2 (* -1 maxCos))) (* 2 (/ 1 ux)))) 1))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos (/.f32 #s(literal 2 binary32) ux))) #s(literal 1 binary32)) ux)
(* ux (+ 2 (* -1 maxCos)))
(*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (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))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (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))))) (+ (* 1/16 (/ (* (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) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (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) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (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 (- 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 (/ 1 maxCos)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))
(* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1)))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))
(* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (sin (* 2 (* uy (PI)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 ux ux))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
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(* -1 ux)
(neg.f32 ux)
(* ux (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* (pow ux 2) (pow (- maxCos 1) 2))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
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(* -1 (/ (pow ux 2) maxCos))
(/.f32 (*.f32 (neg.f32 ux) ux) maxCos)
(* (pow ux 2) (- (* 2 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* maxCos (- maxCos 2)))))
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (* ux (+ 1 (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* maxCos (- maxCos 2))))))
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(* -1 (* ux (- maxCos 2)))
(*.f32 (-.f32 maxCos #s(literal 2 binary32)) (neg.f32 ux))
(* -1 (* ux (- (+ maxCos (* 2 (/ 1 ux))) 2)))
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(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) ux)
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (*.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))) #s(literal -1/2 binary32) (/.f32 (fma.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) uy) #s(literal 2 binary32)))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))) (neg.f32 ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
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(* -1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal -1/2 binary32))
(* (pow ux 2) (+ (* -1 (* (sqrt (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) #s(literal 1 binary32))) (*.f32 ux ux))
(* -1 (* ux (- 1 (* 2 (/ 1 ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (neg.f32 ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (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 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) #s(literal 1 binary32))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (fma.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)))) (*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) 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)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (fma.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -2/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 2/15 binary32))) (*.f32 uy uy)))) (*.f32 uy uy)))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (+ (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (PI) (* (- 1 maxCos) (- maxCos 1)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (+ (* -2/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* 2/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 5) (* (- 1 maxCos) (- maxCos 1))))) (+ (* 4/15 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 7))) (* -4/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow (PI) 7) (* (- 1 maxCos) (- maxCos 1))))))))))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -2/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 2/15 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -4/315 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) #s(literal 4/15 binary32)))) (*.f32 uy uy)))) (*.f32 uy uy)))) uy)
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy))) #s(literal 4/15 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy))) #s(literal 4/15 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* 4/15 (* (pow (PI) 5) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) uy)
(* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* uy (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (PI.f32) uy))
(* uy (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 3)))) (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI)))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy)) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -4/3 binary32))) uy)
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy)) (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32))) uy)
(* uy (+ (* 2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (PI))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 3))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow uy 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (pow (PI) 5)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 uy uy)) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -8/315 binary32))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal -4/3 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32))) 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 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(*.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(+ (* maxCos (+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))) (* ux (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(* ux (- 2 (* 2 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux)
(+ (* -1 (* maxCos ux)) (* ux (- 2 (* 2 (/ 1 ux)))))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (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 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
(/ (+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) maxCos)
(/.f32 (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)
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 ux))))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) maxCos (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))) maxCos)))
(+ (* -1/2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* maxCos (+ (* -1 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (+ (* 1/2 (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 2 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (+ (* -1 (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2))))))) (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))) (* 1/2 (+ (* -1 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (/.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) maxCos (*.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))) maxCos (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) #s(literal 1/2 binary32)))) maxCos)))
(+ 2 (* -1 maxCos))
(fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 2))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(fma.f32 (neg.f32 maxCos) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (/ (sin (* 2 (* uy (PI)))) (sqrt 2))) (* -1/2 (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(fma.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 maxCos (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (sqrt.f32 #s(literal 2 binary32)))) maxCos (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (/ (sin (* 2 (* uy (PI)))) (sqrt 2))) (* maxCos (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3))) (* -1/2 (/ (* maxCos (sin (* 2 (* uy (PI))))) (pow (sqrt 2) 5))))))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 maxCos (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) maxCos (/.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (sqrt.f32 #s(literal 2 binary32)))) maxCos (*.f32 (sqrt.f32 #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)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))))
(+ (* 1/4 (* (/ (* maxCos (sin (* 2 (* uy (PI))))) (sqrt 1/2)) (sqrt (pow ux 3)))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 maxCos (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))) (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 maxCos (/.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1/2 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))))
(+ (* maxCos (+ (* 1/4 (* (sqrt (pow ux 3)) (/ (sin (* 2 (* uy (PI)))) (sqrt 1/2)))) (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))) (* -1/2 (* (/ (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1/2 (pow ux 3)) (* -1/4 (/ (+ (* -1/2 (pow ux 3)) (* 1/16 (/ (pow ux 3) (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (pow ux 3))))))))) (* (sqrt (pow ux 3)) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32)))) maxCos (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) maxCos (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (neg.f32 ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (/.f32 ux maxCos) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos)) (neg.f32 ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (neg.f32 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 (fma.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (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 (+ (/ (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (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 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #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 ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow ux 2) (- 2 (* 2 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(+ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) maxCos) (/.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))))) maxCos) (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 2))) (+ (* 1/2 (/ (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2))))) (pow maxCos 3))) (+ (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (+ (* (sqrt (/ ux (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) maxCos) (/.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))))) maxCos) (fma.f32 (/.f32 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) #s(literal -1/4 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (fma.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))))) (*.f32 maxCos maxCos))
(* -1 maxCos)
(neg.f32 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(* (sqrt maxCos) (* (sin (* 2 (* uy (PI)))) (sqrt -2)))
(*.f32 (sqrt.f32 maxCos) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos)
(* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos)
(* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 7))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -2))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 7 binary32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2)))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)))) #s(literal -1/4 binary32))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow maxCos 7) (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (+ (* 1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt -1/2) 2))) (* 1/2 (pow ux 3)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (sin (* 2 (* uy (PI)))) (sqrt -1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (sqrt -1/2))))))
(fma.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) #s(literal -1/2 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 ux #s(literal 3 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 7 binary32))) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)))) #s(literal -1/4 binary32)))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ (* -1 (* ux (- 2 (* 2 (/ 1 ux))))) (* -1 (/ (* ux (- (* 2 (/ 1 ux)) 1)) maxCos))) maxCos))))
(*.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux))) maxCos) ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) ux))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (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)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1/2 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* 1/2 (/ (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) maxCos) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos))))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))))) (* (sqrt (* maxCos ux)) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) maxCos)) (* -1/2 (+ (* -1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))) maxCos)) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))) maxCos)) (* -1/2 (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (*.f32 maxCos ux)))) (neg.f32 maxCos))) (neg.f32 maxCos)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 1 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (*.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* (sqrt maxCos) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(*.f32 (neg.f32 (sqrt.f32 maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))
(* -1 (* maxCos (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ 1 (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ 1 maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 7 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2)))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))))
(+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32))))) #s(literal -1/4 binary32))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (* maxCos (pow ux 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ 1 (* maxCos (pow ux 3)))) (/ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ (* -1/16 (/ (* maxCos (pow ux 3)) (pow (sqrt 1/2) 2))) (* 1/2 (pow ux 3))))) (sqrt 1/2))))) (pow maxCos 3))) (+ (* -1/4 (* (sqrt (/ (pow ux 3) (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 1/2)))) (* (sqrt (/ (pow ux 3) maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 1/2))))))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 maxCos (/.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1/2 binary32))) #s(literal -1/16 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 ux #s(literal 3 binary32))))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))))

rewrite216.0ms (2%)

Memory
2.6MiB live, 344.3MiB allocated; 86ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102556
0163525
1560506
24239506
08226491
Stop Event
iter limit
node limit
iter limit
Counts
24 → 355
Calls
Call 1
Inputs
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy))
(*.f32 (+.f32 (PI.f32) (PI.f32)) uy)
(+.f32 (PI.f32) (PI.f32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))
(PI.f32)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 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 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
(*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Outputs
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos)))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 3 binary32))) (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) (/.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))))
(-.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))
(-.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)))
(-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (neg.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) maxCos))
(-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (neg.f32 maxCos) (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos))
(fma.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos (*.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))) ux))
(fma.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(fma.f32 maxCos (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (*.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))) ux))
(fma.f32 maxCos (*.f32 ux (-.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)) ux))
(fma.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos))
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos)) (pow.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))) ux))
(+.f32 (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(+.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos))
(*.f32 ux (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))
(/.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos (neg.f32 ux)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux)))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 maxCos ux))))
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(/.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32)))
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(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))
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(+.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (-.f32 maxCos #s(literal 1 binary32))))
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(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos)))
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
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(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (log.f32 (PI.f32))) (sinh.f32 (log.f32 (PI.f32))))
(exp.f32 (+.f32 (/.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (/.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (/.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (/.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (/.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (/.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
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(*.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)))
(/.f32 (*.f32 ux (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 ux ux)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(/.f32 (*.f32 ux (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #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))
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(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
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(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(literal 1 binary32))
(+.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
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(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
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(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
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(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
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(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
(fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
(*.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (neg.f32 ux)) (neg.f32 ux))
(*.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) ux) ux)
(*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 ux ux))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (/.f32 ux maxCos))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) maxCos))
(*.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos)))
(*.f32 ux (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) ux))
(/.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))) (neg.f32 maxCos))
(/.f32 (*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)) (neg.f32 maxCos))
(/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) (neg.f32 maxCos))
(/.f32 (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux) maxCos)
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) ux) (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) ux)
(*.f32 (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) ux) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) (*.f32 ux (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) ux))
(*.f32 ux (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))

eval110.0ms (1%)

Memory
-22.6MiB live, 303.9MiB allocated; 22ms collecting garbage
Compiler

Compiled 59 332 to 4 467 computations (92.5% saved)

prune142.0ms (1.3%)

Memory
-3.3MiB live, 236.1MiB allocated; 18ms collecting garbage
Pruning

73 alts after pruning (72 fresh and 1 done)

PrunedKeptTotal
New77330803
Fresh254267
Picked415
Done000
Total80273875
Accuracy
100.0%
Counts
875 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.0%
(/.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
98.2%
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
60.8%
(*.f32 (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))
97.7%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
59.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
59.3%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
97.8%
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
96.6%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
59.2%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
60.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
59.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
73.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
59.1%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
59.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
59.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
60.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.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))))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))))) ux))))
98.2%
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))))) ux))))
93.7%
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux))))
50.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (/.f32 ux maxCos) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos)) (neg.f32 ux)) (*.f32 maxCos maxCos))) ux))))
54.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))))))
93.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux)) maxCos))))))
87.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) ux) ux)) maxCos))))))
97.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) (/.f32 ux maxCos))) maxCos))))))
97.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) #s(approx (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) maxCos) ux))) maxCos))))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (neg.f32 ux))) #s(literal 1 binary32)) (*.f32 ux ux)))))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
87.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) maxCos))))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux)) maxCos))))))
73.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos))))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
93.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux)))))
70.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
65.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) uy) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 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))))
93.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
91.0%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
90.3%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
56.1%
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
65.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
65.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
3.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
65.4%
(*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
53.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
83.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
74.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
53.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
53.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.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))))
54.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
53.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
55.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
54.5%
(*.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))))))
27.4%
(*.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)) #s(literal 1 binary32))))))
43.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
83.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
94.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (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)))))
92.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (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)))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) ux) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))))
84.6%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) #s(approx (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32))) uy))))
88.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 (sqrt.f32 ux) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos)) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) ux) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32))))))
87.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 #s(approx (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy)) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal -4/3 binary32))) uy)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
87.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (*.f32 #s(approx (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (*.f32 (PI.f32) uy))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
88.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) ux)) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))) ux) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos #s(literal 1 binary32))))))
76.5%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 #s(approx (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
84.2%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (fma.f32 #s(approx (* (sin (* (PI) (* 2 uy))) (sqrt (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 ux (sqrt.f32 (/.f32 ux (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))))
54.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
60.7%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
76.6%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (+ (* (* (* (sqrt (/ (pow ux 3) (- (+ (* -1 (- maxCos 1)) 1) maxCos))) (sin (* (* 2 uy) (PI)))) (* (- 1 maxCos) (- maxCos 1))) 1/2) (* (sqrt (* (- (+ (* -1 (- maxCos 1)) 1) maxCos) ux)) (sin (* (* 2 uy) (PI))))) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))))) uy)))
Compiler

Compiled 13 232 to 3 540 computations (73.2% saved)

regimes439.0ms (4.1%)

Memory
48.5MiB live, 615.7MiB allocated; 54ms collecting garbage
Counts
150 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #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))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 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) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
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#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (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) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) 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)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 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)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (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)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (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 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (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 (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))) #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Outputs
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
Calls

11 calls:

72.0ms
(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)))))
38.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
37.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
37.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
36.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
98.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.5%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.5%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
98.5%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
98.5%1(*.f32 uy #s(literal 2 binary32))
98.5%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.5%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.5%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
98.5%1ux
98.5%1uy
98.5%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes190.0ms (1.8%)

Memory
-30.4MiB live, 292.7MiB allocated; 22ms collecting garbage
Counts
68 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #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))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 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) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (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)) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) uy) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) #s(approx (* (* (* ux ux) maxCos) (- 2 (/ 2 ux))) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (neg.f32 ux))) #s(literal 1 binary32)) (*.f32 ux ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (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)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux)) maxCos))))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 #s(approx (sin (* (* uy 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)) (sqrt.f32 (-.f32 #s(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 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) #s(approx (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos)) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) maxCos) ux))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
Calls

11 calls:

20.0ms
(*.f32 uy #s(literal 2 binary32))
19.0ms
ux
18.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
17.0ms
(-.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))))
17.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
98.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.4%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
98.4%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
98.4%1(*.f32 uy #s(literal 2 binary32))
98.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
98.4%1ux
98.4%1uy
98.4%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes140.0ms (1.3%)

Memory
22.6MiB live, 273.7MiB allocated; 26ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #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))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 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) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (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)) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) uy) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
Calls

11 calls:

21.0ms
ux
13.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
13.0ms
(*.f32 uy #s(literal 2 binary32))
13.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
11.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
97.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.8%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))))
97.8%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)))))
97.8%1(*.f32 uy #s(literal 2 binary32))
97.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.8%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.8%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))))))
97.8%1ux
97.8%1uy
97.8%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes116.0ms (1.1%)

Memory
-21.5MiB live, 262.5MiB allocated; 9ms collecting garbage
Counts
41 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #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))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 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) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux))))
Calls

11 calls:

12.0ms
(*.f32 uy #s(literal 2 binary32))
11.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
11.0ms
ux
11.0ms
maxCos
11.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
93.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
93.7%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
93.7%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
93.7%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
97.3%2(*.f32 uy #s(literal 2 binary32))
97.3%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
93.7%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
93.7%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))))))
93.7%1ux
97.3%2uy
97.0%2maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes31.0ms (0.3%)

Memory
20.2MiB live, 66.8MiB allocated; 1ms collecting garbage
Counts
39 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #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))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 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) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 #s(approx (+ (* (- 2 (/ 2 ux)) (* ux ux)) (* (* ux ux) (/ (- (/ 2 ux) 1) maxCos))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux)))))
Calls

3 calls:

10.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
10.0ms
(*.f32 uy #s(literal 2 binary32))
9.0ms
uy
Results
AccuracySegmentsBranch
97.3%2(*.f32 uy #s(literal 2 binary32))
97.3%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.3%2uy
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes100.0ms (0.9%)

Memory
-23.5MiB live, 116.9MiB allocated; 9ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux)))))
Calls

11 calls:

34.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
9.0ms
(*.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))))))
8.0ms
ux
6.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
6.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
92.4%3(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
87.3%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))))
87.3%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)))))
90.4%3ux
87.3%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
87.3%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
89.0%2(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
83.7%1maxCos
90.2%2(*.f32 uy #s(literal 2 binary32))
90.2%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
90.2%2uy
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes66.0ms (0.6%)

Memory
8.3MiB live, 107.9MiB allocated; 12ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
Calls

10 calls:

11.0ms
(-.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))))
8.0ms
(*.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))))))
6.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
6.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
6.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
83.7%1ux
83.7%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
83.7%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
83.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
83.7%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
83.7%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
83.7%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))))))
83.7%1(*.f32 uy #s(literal 2 binary32))
83.7%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
83.7%1uy
Compiler

Compiled 98 to 76 computations (22.4% saved)

regimes57.0ms (0.5%)

Memory
8.2MiB live, 101.1MiB allocated; 3ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
Calls

11 calls:

6.0ms
ux
6.0ms
(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)))))
5.0ms
maxCos
5.0ms
uy
5.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
83.0%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))))))
83.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
83.0%1ux
83.0%1maxCos
83.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
83.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
83.0%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))))
83.0%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)))))
83.0%1(*.f32 uy #s(literal 2 binary32))
83.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
83.0%1uy
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes55.0ms (0.5%)

Memory
11.3MiB live, 106.8MiB allocated; 6ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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 (-.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))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
Calls

11 calls:

7.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
6.0ms
(*.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))))))
5.0ms
ux
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 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
65.6%1(*.f32 uy #s(literal 2 binary32))
65.6%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
65.6%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
65.6%1uy
78.6%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
78.6%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
65.6%1maxCos
72.4%2(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
78.6%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
78.6%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
78.6%2ux
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes27.0ms (0.3%)

Memory
14.9MiB live, 57.9MiB allocated; 4ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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 #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 (-.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))))))
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 (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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

5 calls:

9.0ms
ux
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
4.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
4.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Results
AccuracySegmentsBranch
78.5%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
78.5%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
78.5%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
78.5%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
78.5%2ux
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes21.0ms (0.2%)

Memory
-7.4MiB live, 38.3MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
Outputs
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

5 calls:

7.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms
ux
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
(sqrt.f32 (-.f32 #s(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
78.5%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
78.5%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
78.5%2ux
78.5%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
78.5%2(*.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)

regimes19.0ms (0.2%)

Memory
0.4MiB live, 46.8MiB allocated; 4ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

5 calls:

6.0ms
(+.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
ux
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))))
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
77.4%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
77.4%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
77.4%2ux
77.4%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.4%2(*.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)

regimes25.0ms (0.2%)

Memory
-18.7MiB live, 31.8MiB allocated; 20ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

5 calls:

14.0ms
(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 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
2.0ms
(-.f32 #s(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
77.3%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))))
77.3%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)))))
77.3%2ux
77.3%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.3%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes8.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
1.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
ux
1.0ms
(-.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
65.6%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))))))
65.6%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
65.6%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
65.6%1ux
65.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
65.6%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 83 to 53 computations (36.1% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00012639777560252696
0.00013998470967635512
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00012639777560252696
0.00013998470967635512
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00330138485878706
0.003319614101201296
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00021171850676182657
0.00029985455330461264
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994003772735596
0.99957674741745
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999738335609436
0.9997556209564209
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.99957674741745
0.9996508955955505
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999738335609436
0.9997556209564209
Compiler

Compiled 28 to 21 computations (25% saved)

simplify70.0ms (0.7%)

Memory
-8.8MiB live, 83.5MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01771179
12851175
25411175
313801175
434471175
565931175
Stop Event
node limit
Calls
Call 1
Inputs
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
(if (<=.f32 uy #s(literal 2233383/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux)))))
(if (<=.f32 uy #s(literal 2233383/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux))))))
(if (<=.f32 uy #s(literal 7108171/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(if (<=.f32 ux #s(literal 8589935/34359738368 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)))))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16768827/16777216 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 (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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 8386511/8388608 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16770505/16777216 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 (+.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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 8386511/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.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 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 maxCos) #s(literal -1 binary32))) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) #s(approx (+ (* (- (/ 2 ux) 1) (* ux ux)) (* (* (* ux ux) maxCos) (- 2 (/ 2 ux)))) (*.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)) ux))))))
(if (<=.f32 uy #s(literal 2233383/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)) ux)))))
(if (<=.f32 uy #s(literal 2233383/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux))))))
(if (<=.f32 uy #s(literal 2233383/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux))))))
(if (<=.f32 uy #s(literal 7108171/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux))))))
(if (<=.f32 uy #s(literal 7108171/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (- ux 1) (- 1 ux)) 1) (*.f32 #s(literal 2 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux (*.f32 (neg.f32 ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))))))
(if (<=.f32 ux #s(literal 8589935/34359738368 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)))))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16768827/16777216 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 (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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 8386511/8388608 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16770505/16777216 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 (+.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) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 8386511/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 8386511/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

derivations1.7s (15.8%)

Memory
-23.3MiB live, 1 004.2MiB allocated; 834ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192265
114722148
265572130
081892026
056280
096197
1315197
22143197
09196197
011668123
142137981
087307640
09616572
136446462
081336147
01675
02754
111054
290854
0839250
011538264
142378110
087347760
088512
0140467
1479458
23531458
08190449
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 180 to 181 computations (84.7% saved)

preprocess175.0ms (1.6%)

Memory
10.7MiB live, 152.8MiB allocated; 15ms collecting garbage
Remove

(negabs uy)

Compiler

Compiled 2 666 to 542 computations (79.7% saved)

end0.0ms (0%)

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

Profiling

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