UniformSampleCone, y

Time bar (total: 11.4s)

start0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze238.0ms (2.1%)

Memory
-8.8MiB live, 266.4MiB allocated; 190ms 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)

sample2.0s (17.9%)

Memory
60.4MiB live, 2 118.8MiB allocated; 1.2s collecting garbage
Samples
1.4s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sub: 443.0ms (36.6% of total)
ival-mult: 194.0ms (16% of total)
ival-sinu: 154.0ms (12.7% of total)
const: 153.0ms (12.6% of total)
ival-<=: 125.0ms (10.3% of total)
ival-sqrt: 53.0ms (4.4% of total)
ival-add: 42.0ms (3.5% of total)
ival-and: 32.0ms (2.6% of total)
exact: 11.0ms (0.9% of total)
ival-assert: 3.0ms (0.2% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain217.0ms (1.9%)

Memory
-7.7MiB live, 318.4MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2004(0.00032120151445269585 0.02898472733795643 8.716930589961113e-36)2(0.0077140312641859055 1.5068512766447384e-5 1.6933355759252144e-11)(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
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))))cancellation20212
Confusion
Predicted +Predicted -
+1964
-650
Precision
0.9702970297029703
Recall
0.98
Confusion?
Predicted +Predicted MaybePredicted -
+19640
-6842
Precision?
0.9345794392523364
Recall?
1.0
Freqs
test
numberfreq
054
1202
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms510×0valid
0.0ms1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 17.0ms (40.2% of total)
ival-sinu: 11.0ms (26% of total)
ival-sub: 5.0ms (11.8% of total)
ival-sqrt: 3.0ms (7.1% of total)
ival-pi: 2.0ms (4.7% of total)
ival-add: 2.0ms (4.7% of total)
exact: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess231.0ms (2%)

Memory
15.5MiB live, 191.4MiB allocated; 30ms 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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(*.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)

simplify197.0ms (1.7%)

Memory
-5.9MiB live, 185.0MiB allocated; 27ms 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

localize101.0ms (0.9%)

Memory
5.6MiB live, 65.1MiB allocated; 18ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
accuracy0.39453125
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy14.149408503916577
(-.f32 #s(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
91.0ms255×0valid
0.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 72.0ms (87.3% of total)
ival-sinu: 4.0ms (4.8% of total)
ival-sub: 2.0ms (2.4% of total)
ival-sqrt: 2.0ms (2.4% of total)
ival-pi: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms 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
3.0ms
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)))
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)))
3.0ms
uy
@inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
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)))

simplify168.0ms (1.5%)

Memory
-1.4MiB live, 183.6MiB allocated; 28ms 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))

rewrite238.0ms (2.1%)

Memory
15.0MiB live, 290.3MiB allocated; 31ms 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))

eval90.0ms (0.8%)

Memory
-4.3MiB live, 183.3MiB allocated; 20ms collecting garbage
Compiler

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

prune96.0ms (0.8%)

Memory
9.7MiB live, 159.0MiB allocated; 39ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New58327610
Fresh000
Picked101
Done000
Total58427611
Accuracy
99.0%
Counts
611 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
54.6%
(*.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
54.8%
(*.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))))
54.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
54.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.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)))))
53.0%
(*.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))))
54.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
54.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 maxCos ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))))))
54.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
54.4%
(*.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))))))
54.8%
(*.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))))))
53.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.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))))))))
54.9%
(*.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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
53.3%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
55.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
54.8%
(*.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))))))
43.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
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))))
78.2%
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
50.5%
(*.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))))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
94.5%
#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)))))
96.0%
#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)))))
91.0%
#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)))))
47.2%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
50.4%
#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 2 296 to 1 348 computations (41.3% saved)

simplify203.0ms (1.8%)

Memory
-10.2MiB live, 220.3MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058714
0100669
1187669
2384669
31077669
42972669
56361669
08049653
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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 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))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (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)
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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (sin.f32 (*.f32 (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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (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 (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 (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)))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (neg.f32 ux) #s(literal -1 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (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 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (-.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 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (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 (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 (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)

localize202.0ms (1.8%)

Memory
18.9MiB live, 214.3MiB allocated; 33ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3310737793053261
(*.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))
accuracy0.34375
(*.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)))))
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.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))))
accuracy0.35546875
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
accuracy14.10681628329236
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.1152025511575378
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.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))))
accuracy15.091881476372464
(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))
accuracy0.34375
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
accuracy0.39453125
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy5.827466656659074
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy14.149408503916577
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.1171875
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy0.15625
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.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))))
Samples
76.0ms251×0valid
3.0ms1valid
Compiler

Compiled 636 to 47 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 25.0ms (43.5% of total)
ival-sub: 7.0ms (12.2% of total)
ival-pow2: 6.0ms (10.4% of total)
ival-add: 6.0ms (10.4% of total)
ival-sqrt: 5.0ms (8.7% of total)
ival-sinu: 4.0ms (7% of total)
ival-div: 2.0ms (3.5% of total)
adjust: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-pi: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory
9.2MiB live, 53.9MiB allocated; 15ms collecting garbage
Counts
19 → 175
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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (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))))))))))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(* ux (* (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))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (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)))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* 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))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* (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 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 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)))))
(- 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))))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* maxCos (* ux (* (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)))))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(pow maxCos 2)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* maxCos (* ux (* (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))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
Calls

9 calls:

TimeVariablePointExpression
25.0ms
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))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
9.0ms
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) (- 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))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
6.0ms
ux
@0
((* (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))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
5.0ms
ux
@-inf
((* (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))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
4.0ms
maxCos
@inf
((* (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))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))

simplify338.0ms (3%)

Memory
-11.2MiB live, 245.8MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09776389
135525838
083115548
Stop Event
iter limit
node limit
Counts
175 → 175
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))))))))))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(* ux (* (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))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (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)))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* 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))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* (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 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 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)))))
(- 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))))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* maxCos (* ux (* (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)))))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(pow maxCos 2)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* maxCos (* ux (* (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))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (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))))
(* 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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux)
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 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 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 3 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 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -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))
(+ 1 (* ux (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (* (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)
(* -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 (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (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))))))))
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(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (neg.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (/.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 5 binary32)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (- maxCos 1)))
(*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.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 (*.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))) (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 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) ux) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (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 (-.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))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.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 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(*.f32 (*.f32 (neg.f32 ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
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(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
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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)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 uy)
(*.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))))))))))
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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)))))) (* (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))))))))))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
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(+ (* -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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.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))))) (*.f32 maxCos (*.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))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (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 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) 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 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (*.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 (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 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (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) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (fma.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (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 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (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 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32))))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (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)))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(+ 1 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos #s(literal 1 binary32))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(* maxCos (* ux (* (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 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (+.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 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) 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 (+ (* 1/2 (/ (* (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 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (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 (+ (* -1/4 (/ (* (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 (*.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32))) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* maxCos (* ux (- 1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (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 (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)) (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) 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))) (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 (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) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos)) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 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 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 maxCos))) (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 (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 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #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 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32)) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #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 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))

rewrite469.0ms (4.1%)

Memory
11.6MiB live, 658.6MiB allocated; 98ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058327
0100246
1361246
22593246
010595246
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 021
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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
Outputs
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 uy (PI.f32)) #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 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
(+.f32 uy uy)
(/.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (*.f32 (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (neg.f32 (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)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (/.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(-.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) ux))
(-.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (neg.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 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(fma.f32 (neg.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32)))) (neg.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (fabs.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32)))) (fabs.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux)) (neg.f32 ux))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(*.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 ux (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32))))

eval250.0ms (2.2%)

Memory
-34.8MiB live, 439.4MiB allocated; 97ms collecting garbage
Compiler

Compiled 88 300 to 7 300 computations (91.7% saved)

prune160.0ms (1.4%)

Memory
5.6MiB live, 195.1MiB allocated; 19ms collecting garbage
Pruning

62 alts after pruning (62 fresh and 0 done)

PrunedKeptTotal
New1 251591 310
Fresh19322
Picked505
Done000
Total1 275621 337
Accuracy
99.7%
Counts
1 337 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
54.7%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (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 (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))))
97.5%
(*.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)))))
54.8%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
97.7%
(*.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)))) (*.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))))
97.6%
(*.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 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
52.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
53.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
52.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
53.3%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
43.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (/.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 ux 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)))) (fma.f32 (*.f32 #s(literal -2 binary32) maxCos) ux (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) 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 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
98.5%
(*.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 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))))))
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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
78.1%
(*.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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (*.f32 maxCos maxCos)) ux))) ux))))
78.2%
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.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))))
92.0%
(*.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)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
58.4%
(*.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)) (*.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))))))
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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
58.5%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))))))
92.0%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
58.5%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
98.5%
(*.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)))))
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 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
78.2%
(*.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) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
93.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.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)) (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))))
91.0%
(*.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 (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))))
88.0%
(*.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 (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))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
45.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
80.9%
(*.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 (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))))
80.9%
(*.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 (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)))))
45.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
47.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (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)))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
47.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
47.2%
(*.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 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
46.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
47.4%
(*.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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
46.2%
(*.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))))))
48.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
25.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
39.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
19.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
67.1%
(*.f32 #s(approx (sin (* (* uy 2) (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))))
3.6%
(*.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 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
94.5%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 binary32)) (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 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (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)))))
91.0%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
50.5%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
50.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.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))) (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))
47.2%
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
54.6%
#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)))))
Compiler

Compiled 5 848 to 3 558 computations (39.2% saved)

simplify185.0ms (1.6%)

Memory
-5.0MiB live, 135.8MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
cost-diff3
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
cost-diff1
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff1
(*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff11
(fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
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 (*.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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
cost-diff1
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075870
0122824
1232785
2545775
31667775
43793775
57485775
08520761
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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
ux
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 maxCos)
maxCos
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(neg.f32 (fma.f32 maxCos ux (-.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(-.f32 #s(literal 2 binary32) ux)
ux
(*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))
(*.f32 maxCos ux)
maxCos
(fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))
#s(literal -2 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
#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 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 4 binary32)
(+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)))) (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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux))))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
ux
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) maxCos)
(neg.f32 maxCos)
maxCos
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (neg.f32 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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux)))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))
(*.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux)
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(-.f32 #s(literal 2 binary32) ux)
ux
(*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)
(*.f32 maxCos ux)
(*.f32 ux maxCos)
maxCos
(fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))
#s(literal -2 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 4 binary32)
(+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))

localize262.0ms (2.3%)

Memory
-27.4MiB live, 312.1MiB allocated; 59ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.39453125
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
accuracy0.7161830568011956
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))
accuracy5.827466656659074
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.327554806320949
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))
accuracy0.2602282284362614
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.31640625
(*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))
accuracy0.34375
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
accuracy0.31640625
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy0.34375
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
accuracy5.827466656659074
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy15.006986240347148
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.31640625
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy0.34375
(*.f32 #s(approx (sin (* (* uy 2) (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))))
accuracy5.827466656659074
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy7.43810481451617
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy0.16015625
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
accuracy0.1640625
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Samples
169.0ms251×0valid
4.0ms1valid
Compiler

Compiled 709 to 66 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-pow: 43.0ms (28.7% of total)
ival-mult: 39.0ms (26% of total)
ival-sqrt: 30.0ms (20% of total)
ival-sub: 11.0ms (7.3% of total)
ival-add: 10.0ms (6.7% of total)
ival-sinu: 5.0ms (3.3% of total)
ival-pow2: 5.0ms (3.3% of total)
ival-div: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
adjust: 1.0ms (0.7% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (0.7%)

Memory
30.5MiB live, 174.9MiB allocated; 22ms collecting garbage
Counts
23 → 249
Calls
Call 1
Inputs
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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))
(fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))
(-.f32 #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 4 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
Outputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(+ (* -1/2 (* (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 (* -1 maxCos)) maxCos))
(* ux (- (+ 2 (+ (* -1 maxCos) (* ux (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) maxCos))
(* -1 maxCos)
(+ (* -1 maxCos) (* -1 (* maxCos (* ux (- maxCos 1)))))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* -1 (* ux (- 1 maxCos)))) maxCos))
(* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 2 (* -1 maxCos)) maxCos))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 2 (* -1 maxCos)) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 2 (* -1 maxCos)) maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))))
(+ (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 2 (* -1 maxCos)) maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 2 (* -1 maxCos)) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 2 (* -1 maxCos)) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3)))))))))
(* ux (- (+ 2 (* -1 (* ux (+ 1 (* -2 maxCos))))) (* 2 maxCos)))
(* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2)))))) (sqrt 1/2)))))))
(+ (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2)))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (pow (- maxCos 1) 4)) (+ (* 1/4 (/ (pow (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) 2) (* ux (* (pow (sqrt 1/2) 2) (- 4 (* 4 maxCos)))))) (+ (* 1/2 (* (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2))))) (- (* 2 maxCos) 2))) (* 1/2 (* (pow (- maxCos 1) 2) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))))))))) (sqrt 1/2)))))))))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* 2 (* maxCos ux))
(* ux (+ (* -2 (* maxCos ux)) (* 2 maxCos)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 4 (* 4 maxCos)))
(* ux (- (+ 4 (* -1 (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(* ux (- (+ 4 (* ux (- (* -2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(* ux (- (+ 4 (* ux (- (* ux (- (* -1 (* ux (pow (- maxCos 1) 4))) (* 2 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
1
(+ 1 (* ux (- (* 4 maxCos) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)))) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) 4)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (* maxCos (- maxCos 1))) (+ (* -1 (- 1 maxCos)) (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))))) (/ maxCos ux)))
(* -1 (* maxCos (* ux (- maxCos 1))))
(* ux (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (/ maxCos ux))))
(* -1 (* (pow ux 2) (- 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- 1 maxCos)) (* 2 (/ 1 ux))) (/ maxCos ux)))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))))
(* -1 (* (pow ux 2) (+ 1 (* -2 maxCos))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (+ (* -2 maxCos) (* 2 (/ maxCos ux))))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow ux 2) (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ 1 (pow (- maxCos 1) 2))) (+ (* 1/2 (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (+ (* 2 (/ (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (pow (- maxCos 1) 2))) (+ (* 4 (/ maxCos (pow (- maxCos 1) 2))) (/ (* (- (* 2 maxCos) 2) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow (- maxCos 1) 2))))))) (* (pow ux 3) (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow ux 2) (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) (+ 1 (/ maxCos ux))))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -2 (* maxCos (pow ux 2)))
(* (pow ux 2) (+ (* -2 maxCos) (* 2 (/ maxCos ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 4) (pow (- maxCos 1) 4)))
(* (pow ux 4) (- (* -2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 4) (- (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow ux 2))) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4))))
(* (pow ux 4) (- (* 4 (/ 1 (pow ux 3))) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))))
(* (pow ux 4) (pow (- maxCos 1) 4))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))
(* (pow ux 4) (- (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4))))) (* 4 (/ 1 (pow ux 3)))))
(* (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) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (+ (* -1 (/ (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) ux)) (* maxCos (+ 1 (* -1 maxCos))))))
(* maxCos (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))))
(* -1 (* (* ux (sin (* 2 (* uy (PI))))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ maxCos (* -1 (+ 2 (* -1 maxCos))))) ux) (sqrt (/ 1 (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) 2)) ux) (sqrt (/ 1 (pow (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ maxCos (* -1 (+ 2 (* -1 maxCos))))) (sqrt (/ 1 (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos))))))))) ux)) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (sin (* 2 (* uy (PI)))) (pow (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) 2)) (sqrt (/ 1 (pow (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))) 3))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) 3)) ux) (sqrt (/ 1 (pow (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))) 5)))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ maxCos (* -1 (+ 2 (* -1 maxCos))))) (sqrt (/ 1 (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos))))))))) ux)) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -2 maxCos))))
(* -1 (* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 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 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ 4 (* -4 maxCos)) (pow (+ 1 (* -1 maxCos)) 2))) (+ (* 1/2 (/ (* (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 2 (/ (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (/ (* (+ 2 (* -2 maxCos)) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2)))) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (- (* 2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (- (* -1 (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 2) ux)) (/ (pow (+ 2 (* -2 maxCos)) 2) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ maxCos ux)) (* 4 (/ 1 ux))) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4))
(* (pow ux 4) (+ (* -2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -4 maxCos)) ux)) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (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 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))))))
(* 2 (* (* uy (PI)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 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) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (pow (PI) 5) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) 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))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2))))) (* (- 1 ux) (- ux 1))))
(* -1 (* maxCos (- 1 ux)))
(* maxCos (+ (* -1 (* maxCos ux)) (* -1 (- 1 ux))))
(+ 1 (+ (* -1 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 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)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* (- 1 ux) (- ux 1)))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/2 (/ (* (+ 1 (pow (- 1 ux) 2)) (* (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))))) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(* ux (+ 2 (* -1 ux)))
(+ (* maxCos (* ux (- ux 1))) (* ux (+ 2 (* -1 ux))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(* maxCos (* ux (+ 2 (* -2 ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(- 1 (pow (- 1 ux) 4))
(- (+ 1 (* -4 (* maxCos (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 4))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))) (* 4 (* ux (pow (- 1 ux) 3)))))) (pow (- 1 ux) 4))
(- (+ 1 (* maxCos (- (* maxCos (- (* -4 (* maxCos (* (pow ux 3) (- 1 ux)))) (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))) (* 4 (* ux (pow (- 1 ux) 3)))))) (pow (- 1 ux) 4))
(pow (- 1 ux) 4)
(+ (* 4 (* maxCos (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* maxCos (* (pow ux 3) (- 1 ux)))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))))) (pow (- 1 ux) 4))
(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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (+ (* -1 (* ux (- 1 ux))) (+ (/ 1 maxCos) (/ (* (- 1 ux) (- ux 1)) maxCos))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (+ 2 (* -2 ux)))))
(* maxCos (- (/ (* ux (- 2 ux)) maxCos) (* ux (+ 2 (* -2 ux)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (pow (- 1 ux) 3) ux)) (+ (* 1/2 (/ (* (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (+ (* 2 (/ (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux))))) ux)) (/ (* (+ 1 (pow (- 1 ux) 2)) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (pow ux 2)))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (- ux 1)))
(* maxCos (+ (* ux (- ux 1)) (/ (* ux (+ 2 (* -1 ux))) maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 4) (pow ux 4)))
(* (pow maxCos 4) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))
(* (pow maxCos 4) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(* (pow maxCos 4) (pow ux 4))
(* (pow maxCos 4) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(* (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 (* 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 (* (- 1 ux) (- ux 1))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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 (- 2 ux)) maxCos)) (* -1 (* ux (+ 2 (* -2 ux)))))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ (pow (- 1 ux) 3) ux)) (+ (* -2 (/ (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (* -1 (+ 1 (pow (- 1 ux) 2)))))) ux)) (+ (* 1/2 (/ (* (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (+ 1 (pow (- 1 ux) 2)) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (pow ux 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (+ 1 (* -1 ux)))))
(* -1 (* maxCos (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 1 (* -1 ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 4) (- (* -1 (/ (- (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) maxCos)) (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) maxCos))) (* -4 (* (pow ux 3) (- 1 ux)))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (* ux (pow (- 1 ux) 3)) maxCos)) (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))) maxCos)) (* -4 (* (pow ux 3) (- 1 ux)))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) maxCos))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (/ (* ux (pow (- 1 ux) 3)) maxCos)))) maxCos))) maxCos)) (pow ux 4)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
maxCos
@inf
((- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)))) (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (* (- (+ (* (- maxCos 1) ux) 2) maxCos) ux) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) (+ (* -2 ux) 2)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (pow (+ (* maxCos ux) (- 1 ux)) 4) (pow (+ (* maxCos ux) (- 1 ux)) 2))
11.0ms
ux
@inf
((- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)))) (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (* (- (+ (* (- maxCos 1) ux) 2) maxCos) ux) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) (+ (* -2 ux) 2)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (pow (+ (* maxCos ux) (- 1 ux)) 4) (pow (+ (* maxCos ux) (- 1 ux)) 2))
10.0ms
ux
@0
((- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)))) (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (* (- (+ (* (- maxCos 1) ux) 2) maxCos) ux) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) (+ (* -2 ux) 2)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (pow (+ (* maxCos ux) (- 1 ux)) 4) (pow (+ (* maxCos ux) (- 1 ux)) 2))
9.0ms
maxCos
@0
((- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)))) (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (* (- (+ (* (- maxCos 1) ux) 2) maxCos) ux) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) (+ (* -2 ux) 2)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (pow (+ (* maxCos ux) (- 1 ux)) 4) (pow (+ (* maxCos ux) (- 1 ux)) 2))
9.0ms
ux
@-inf
((- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)))) (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (* (- (+ (* (- maxCos 1) ux) 2) maxCos) ux) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) (+ (* -2 ux) 2)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (pow (+ (* maxCos ux) (- 1 ux)) 4) (pow (+ (* maxCos ux) (- 1 ux)) 2))

simplify210.0ms (1.8%)

Memory
19.1MiB live, 336.1MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158711880
1580211703
0828511090
Stop Event
iter limit
node limit
Counts
249 → 249
Calls
Call 1
Inputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(+ (* -1/2 (* (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 (* -1 maxCos)) maxCos))
(* ux (- (+ 2 (+ (* -1 maxCos) (* ux (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) maxCos))
(* -1 maxCos)
(+ (* -1 maxCos) (* -1 (* maxCos (* ux (- maxCos 1)))))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* -1 (* ux (- 1 maxCos)))) maxCos))
(* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 2 (* -1 maxCos)) maxCos))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 2 (* -1 maxCos)) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 2 (* -1 maxCos)) maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))))
(+ (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 2 (* -1 maxCos)) maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 2 (* -1 maxCos)) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 2 (* -1 maxCos)) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3)))))))))
(* ux (- (+ 2 (* -1 (* ux (+ 1 (* -2 maxCos))))) (* 2 maxCos)))
(* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(+ (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2)))))) (sqrt 1/2)))))))
(+ (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2)))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (pow (- maxCos 1) 4)) (+ (* 1/4 (/ (pow (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) 2) (* ux (* (pow (sqrt 1/2) 2) (- 4 (* 4 maxCos)))))) (+ (* 1/2 (* (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2))))) (- (* 2 maxCos) 2))) (* 1/2 (* (pow (- maxCos 1) 2) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))))))))) (sqrt 1/2)))))))))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* 2 (* maxCos ux))
(* ux (+ (* -2 (* maxCos ux)) (* 2 maxCos)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 4 (* 4 maxCos)))
(* ux (- (+ 4 (* -1 (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(* ux (- (+ 4 (* ux (- (* -2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(* ux (- (+ 4 (* ux (- (* ux (- (* -1 (* ux (pow (- maxCos 1) 4))) (* 2 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
1
(+ 1 (* ux (- (* 4 maxCos) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)))) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) 4)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (* maxCos (- maxCos 1))) (+ (* -1 (- 1 maxCos)) (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))))) (/ maxCos ux)))
(* -1 (* maxCos (* ux (- maxCos 1))))
(* ux (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (/ maxCos ux))))
(* -1 (* (pow ux 2) (- 1 maxCos)))
(* (pow ux 2) (- (+ (* -1 (- 1 maxCos)) (* 2 (/ 1 ux))) (/ maxCos ux)))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))))
(* -1 (* (pow ux 2) (+ 1 (* -2 maxCos))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (+ (* -2 maxCos) (* 2 (/ maxCos ux))))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow ux 2) (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ 1 (pow (- maxCos 1) 2))) (+ (* 1/2 (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (+ (* 2 (/ (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (pow (- maxCos 1) 2))) (+ (* 4 (/ maxCos (pow (- maxCos 1) 2))) (/ (* (- (* 2 maxCos) 2) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow (- maxCos 1) 2))))))) (* (pow ux 3) (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow ux 2) (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) (+ 1 (/ maxCos ux))))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -2 (* maxCos (pow ux 2)))
(* (pow ux 2) (+ (* -2 maxCos) (* 2 (/ maxCos ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 4) (pow (- maxCos 1) 4)))
(* (pow ux 4) (- (* -2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 4) (- (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow ux 2))) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4))))
(* (pow ux 4) (- (* 4 (/ 1 (pow ux 3))) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))))
(* (pow ux 4) (pow (- maxCos 1) 4))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))
(* (pow ux 4) (- (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4))))) (* 4 (/ 1 (pow ux 3)))))
(* (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) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (+ (* -1 (/ (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) ux)) (* maxCos (+ 1 (* -1 maxCos))))))
(* maxCos (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))))
(* -1 (* (* ux (sin (* 2 (* uy (PI))))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ maxCos (* -1 (+ 2 (* -1 maxCos))))) ux) (sqrt (/ 1 (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) 2)) ux) (sqrt (/ 1 (pow (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ maxCos (* -1 (+ 2 (* -1 maxCos))))) (sqrt (/ 1 (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos))))))))) ux)) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (sin (* 2 (* uy (PI)))) (pow (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) 2)) (sqrt (/ 1 (pow (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))) 3))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ maxCos (* -1 (+ 2 (* -1 maxCos)))) 3)) ux) (sqrt (/ 1 (pow (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))) 5)))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ maxCos (* -1 (+ 2 (* -1 maxCos))))) (sqrt (/ 1 (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos))))))))) ux)) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -2 maxCos))))
(* -1 (* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 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 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ 4 (* -4 maxCos)) (pow (+ 1 (* -1 maxCos)) 2))) (+ (* 1/2 (/ (* (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 2 (/ (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (/ (* (+ 2 (* -2 maxCos)) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2)))) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (- (* 2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (- (* -1 (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 2) ux)) (/ (pow (+ 2 (* -2 maxCos)) 2) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ maxCos ux)) (* 4 (/ 1 ux))) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4))
(* (pow ux 4) (+ (* -2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -4 maxCos)) ux)) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (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 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))))))
(* 2 (* (* uy (PI)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 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) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (pow (PI) 5) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) 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))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2))))) (* (- 1 ux) (- ux 1))))
(* -1 (* maxCos (- 1 ux)))
(* maxCos (+ (* -1 (* maxCos ux)) (* -1 (- 1 ux))))
(+ 1 (+ (* -1 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 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)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* (- 1 ux) (- ux 1)))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2)))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/2 (/ (* (+ 1 (pow (- 1 ux) 2)) (* (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))))) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(* ux (+ 2 (* -1 ux)))
(+ (* maxCos (* ux (- ux 1))) (* ux (+ 2 (* -1 ux))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(* maxCos (* ux (+ 2 (* -2 ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(- 1 (pow (- 1 ux) 4))
(- (+ 1 (* -4 (* maxCos (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 4))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))) (* 4 (* ux (pow (- 1 ux) 3)))))) (pow (- 1 ux) 4))
(- (+ 1 (* maxCos (- (* maxCos (- (* -4 (* maxCos (* (pow ux 3) (- 1 ux)))) (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))) (* 4 (* ux (pow (- 1 ux) 3)))))) (pow (- 1 ux) 4))
(pow (- 1 ux) 4)
(+ (* 4 (* maxCos (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* maxCos (* (pow ux 3) (- 1 ux)))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))))) (pow (- 1 ux) 4))
(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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (+ (* -1 (* ux (- 1 ux))) (+ (/ 1 maxCos) (/ (* (- 1 ux) (- ux 1)) maxCos))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (+ 2 (* -2 ux)))))
(* maxCos (- (/ (* ux (- 2 ux)) maxCos) (* ux (+ 2 (* -2 ux)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (pow (- 1 ux) 3) ux)) (+ (* 1/2 (/ (* (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (+ (* 2 (/ (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux))))) ux)) (/ (* (+ 1 (pow (- 1 ux) 2)) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (pow ux 2)))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (- ux 1)))
(* maxCos (+ (* ux (- ux 1)) (/ (* ux (+ 2 (* -1 ux))) maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 4) (pow ux 4)))
(* (pow maxCos 4) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))
(* (pow maxCos 4) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(* (pow maxCos 4) (pow ux 4))
(* (pow maxCos 4) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(* (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 (* 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 (* (- 1 ux) (- ux 1))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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 (- 2 ux)) maxCos)) (* -1 (* ux (+ 2 (* -2 ux)))))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ (pow (- 1 ux) 3) ux)) (+ (* -2 (/ (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (* -1 (+ 1 (pow (- 1 ux) 2)))))) ux)) (+ (* 1/2 (/ (* (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (+ 1 (pow (- 1 ux) 2)) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (pow ux 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (+ 1 (* -1 ux)))))
(* -1 (* maxCos (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 1 (* -1 ux))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 4) (- (* -1 (/ (- (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) maxCos)) (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) maxCos))) (* -4 (* (pow ux 3) (- 1 ux)))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (* ux (pow (- 1 ux) 3)) maxCos)) (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))) maxCos)) (* -4 (* (pow ux 3) (- 1 ux)))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) maxCos))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (/ (* ux (pow (- 1 ux) 3)) maxCos)))) maxCos))) maxCos)) (pow ux 4)))
(* (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 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 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))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) #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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (*.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))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 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 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 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))))
(+ (* -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 (*.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 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (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 (*.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 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- (+ 2 (* -1 maxCos)) maxCos))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)
(* ux (- (+ 2 (+ (* -1 maxCos) (* ux (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) maxCos))
(*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux)
(* -1 maxCos)
(neg.f32 maxCos)
(+ (* -1 maxCos) (* -1 (* maxCos (* ux (- maxCos 1)))))
(*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) maxCos maxCos))
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* -1 (* ux (- 1 maxCos)))) maxCos))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) ux)
(* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 2 (* -1 maxCos)) maxCos))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 2 (* -1 maxCos)) maxCos) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 2 (* -1 maxCos)) maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)))) (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ 2 (* -1 maxCos)) maxCos))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 2 (* -1 maxCos)) maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 2 (* -1 maxCos)) maxCos) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 2 (* -1 maxCos)) maxCos) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 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 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)))) (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (- (+ 2 (* -1 (* ux (+ 1 (* -2 maxCos))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (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 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))))
(+ (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2)))))) (sqrt 1/2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))) (*.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 ux (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)))) (*.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)))))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))))
(+ (* (sqrt (* ux (- 4 (* 4 maxCos)))) (* (sin (* 2 (* uy (PI)))) (sqrt 1/2))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2))))) (sqrt 1/2)))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 4 (* 4 maxCos))))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2)))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (pow (- maxCos 1) 4)) (+ (* 1/4 (/ (pow (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) 2) (* ux (* (pow (sqrt 1/2) 2) (- 4 (* 4 maxCos)))))) (+ (* 1/2 (* (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* 1/4 (* (- 4 (* 4 maxCos)) (pow (- maxCos 1) 2))) (* 1/2 (* (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))) (- (* 2 maxCos) 2))))) (- (* 2 maxCos) 2))) (* 1/2 (* (pow (- maxCos 1) 2) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- (* 2 maxCos) 2)))))))))) (sqrt 1/2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))) (*.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)))))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 ux (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)))) (*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) #s(literal 1/2 binary32)) ux)))) (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)))))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32)))) ux (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) maxCos maxCos) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* 2 (* maxCos ux))
(*.f32 (*.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (+ (* -2 (* maxCos ux)) (* 2 maxCos)))
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) maxCos) ux (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- 4 (* 4 maxCos)))
(*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)
(* ux (- (+ 4 (* -1 (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 4 binary32) maxCos)) ux)
(* ux (- (+ 4 (* ux (- (* -2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(*.f32 (+.f32 #s(literal 4 binary32) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)))) ux (*.f32 #s(literal -4 binary32) maxCos))) ux)
(* ux (- (+ 4 (* ux (- (* ux (- (* -1 (* ux (pow (- maxCos 1) 4))) (* 2 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) (* 4 maxCos)))
(*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux (*.f32 #s(literal -2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) ux #s(literal 4 binary32)) (*.f32 #s(literal 4 binary32) maxCos)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 4 maxCos) 4)))
(fma.f32 (-.f32 (*.f32 #s(literal 4 binary32) maxCos) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)))) 4)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) ux (*.f32 #s(literal 4 binary32) maxCos)) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) 4)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)))) ux (*.f32 #s(literal 4 binary32) maxCos)) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.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 (+ (* 1/2 (/ (* (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)
(* (pow ux 2) (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (* maxCos (- maxCos 1))) (+ (* -1 (- 1 maxCos)) (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))))) (/ maxCos ux)))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))
(* -1 (* maxCos (* ux (- maxCos 1))))
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(* ux (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (/ maxCos ux))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 maxCos ux))) ux)
(* -1 (* (pow ux 2) (- 1 maxCos)))
(*.f32 (neg.f32 (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos))
(* (pow ux 2) (- (+ (* -1 (- 1 maxCos)) (* 2 (/ 1 ux))) (/ maxCos ux)))
(*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))
(*.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))
(*.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) maxCos #s(literal 2 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))))) (*.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 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) (*.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)) #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) maxCos #s(literal 2 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))))) (*.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- (+ 2 (* -1 maxCos)) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (pow (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 maxCos)) maxCos)) ux) (sqrt (/ 1 (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ (* -1 (* maxCos (- maxCos 1))) (* -1 (- 1 maxCos)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 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) (*.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)) #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) maxCos #s(literal 2 binary32)) maxCos) ux) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) #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) maxCos #s(literal 2 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))))) (*.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* -1 (* (pow ux 2) (+ 1 (* -2 maxCos))))
(*.f32 (neg.f32 (*.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (+ (* -2 maxCos) (* 2 (/ maxCos ux))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (*.f32 ux ux))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* 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 (neg.f32 (-.f32 (*.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 (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow ux 2) (* (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 (neg.f32 (-.f32 (*.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))) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))) #s(literal 1/2 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 (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2)))) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ 1 (pow (- maxCos 1) 2))) (+ (* 1/2 (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (+ (* 2 (/ (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (pow (- maxCos 1) 2))) (+ (* 4 (/ maxCos (pow (- maxCos 1) 2))) (/ (* (- (* 2 maxCos) 2) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow (- maxCos 1) 2))))))) (* (pow ux 3) (* (sqrt -1) (- maxCos 1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow (- maxCos 1) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) 2) (* (pow (sqrt -1) 2) (pow (- maxCos 1) 2)))) (/ (* (- (* -2 (- (* 2 maxCos) 2)) (* -1 (- (* 2 maxCos) 2))) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))))) (* (pow ux 2) (* (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)) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (neg.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))) #s(literal 1/2 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)
(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) (+ 1 (/ maxCos ux))))
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (/.f32 maxCos ux)) (*.f32 ux ux))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 maxCos ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 (*.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))))
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(* -2 (* maxCos (pow ux 2)))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) #s(literal -2 binary32))
(* (pow ux 2) (+ (* -2 maxCos) (* 2 (/ maxCos ux))))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* -1 (* (pow ux 4) (pow (- maxCos 1) 4)))
(neg.f32 (*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))
(* (pow ux 4) (- (* -2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.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))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)) (pow ux 2))) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4))))
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(* (pow ux 4) (- (* 4 (/ 1 (pow ux 3))) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) #s(literal 2 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) #s(literal 4 binary32) (+.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (pow (- maxCos 1) 4))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
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(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))
(*.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) #s(literal 2 binary32) (+.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4))))) (* 4 (/ 1 (pow ux 3)))))
(*.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) #s(literal 2 binary32) (-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) #s(literal 4 binary32) (+.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (/.f32 #s(literal 4 binary32) (pow.f32 ux #s(literal 3 binary32))))) (pow.f32 ux #s(literal 4 binary32)))
(* (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))))
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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) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
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(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
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(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(neg.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #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 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* (pow ux 2) (+ (* -1 (+ 1 (* -1 maxCos))) (* maxCos (+ 1 (* -1 maxCos)))))
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(* maxCos (* ux (+ 1 (* -1 maxCos))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ 4 (* -4 maxCos)) (pow (+ 1 (* -1 maxCos)) 2))) (+ (* 1/2 (/ (* (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 2 (/ (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (/ (* (+ 2 (* -2 maxCos)) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2)))) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) (pow (+ 1 (* -1 maxCos)) 2)))) (+ (* 1/4 (/ (pow (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))) (/ (* (+ 2 (* -2 maxCos)) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (pow (+ 1 (* -1 maxCos)) 2))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -2 (+ 2 (* -2 maxCos))) (* -1 (+ 2 (* -2 maxCos))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 maxCos) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (*.f32 ux ux)))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
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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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(* -1 (* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4)))
(neg.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 ux #s(literal 4 binary32))))
(* (pow ux 4) (- (* 2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
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(* (pow ux 4) (- (* -1 (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 2) ux)) (/ (pow (+ 2 (* -2 maxCos)) 2) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
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(* (pow ux 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ maxCos ux)) (* 4 (/ 1 ux))) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
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(* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4))
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(* (pow ux 4) (+ (* -2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
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(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
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(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -4 maxCos)) ux)) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
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(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
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(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.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) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(*.f32 (fma.f32 (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) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.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) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (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 ux maxCos #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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* (* uy (PI)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (PI.f32)) #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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (*.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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux)))))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (PI.f32)) #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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #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 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 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) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (pow (PI) 5) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #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 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (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 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (+ (* -1 (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux)))) (* (- 1 ux) (- ux (+ 1 (* maxCos ux))))))))
(*.f32 (sqrt.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)) (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 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 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 maxCos) (*.f32 ux ux))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) 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 (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))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 ux maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (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) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.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 (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.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 (* (- 1 ux) (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(+ 1 (+ (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2))))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 maxCos) (*.f32 ux ux))) maxCos #s(literal 1 binary32)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- 1 ux)))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ (* -1 (* maxCos ux)) (* -1 (- 1 ux))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) maxCos)
(+ 1 (+ (* -1 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) 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 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.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))) (neg.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 ux maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 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 (*.f32 maxCos (*.f32 (*.f32 (-.f32 (neg.f32 (*.f32 ux ux)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (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)))))) #s(literal 1/2 binary32) (neg.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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) 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 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 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)) (/ (* (pow ux 2) (pow (- 1 ux) 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 (*.f32 #s(literal 1/2 binary32) (fma.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 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (-.f32 (neg.f32 (*.f32 ux ux)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (*.f32 (-.f32 (neg.f32 (*.f32 ux ux)) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (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))))))) maxCos (neg.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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) 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)))))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(fma.f32 (-.f32 #s(literal 2 binary32) ux) ux (*.f32 (neg.f32 maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (fma.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (*.f32 ux ux)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) (*.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/2 (/ (* (+ 1 (pow (- 1 ux) 2)) (* (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))))) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2))))) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ 1 (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (* (+ 1 (pow (- 1 ux) 2)) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (+ (* 2 (/ (* ux (* (- 1 ux) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (+ 1 (pow (- 1 ux) 2)))) (* 2 (/ (* ux (* (- 1 ux) (- 1 (pow (- 1 ux) 4)))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (+ 1 (pow (- 1 ux) 2)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (+ 1 (pow (- 1 ux) 2)) 2)))))) (sqrt (/ (+ 1 (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 4)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (+ 1 (pow (- 1 ux) 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (fma.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (*.f32 ux ux)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (*.f32 ux ux)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) (*.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (fma.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (*.f32 ux ux)) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))))))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -4 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))))) maxCos (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (+ 2 (* -1 ux)))
(*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux)
(+ (* maxCos (* ux (- ux 1))) (* ux (+ 2 (* -1 ux))))
(fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux))
(* maxCos (* ux (- 1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(*.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)
(* maxCos (* ux (+ 2 (* -2 ux))))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 ux ux) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(- 1 (pow (- 1 ux) 4))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(- (+ 1 (* -4 (* maxCos (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 4))
(-.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) maxCos) #s(literal -4 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))) (* 4 (* ux (pow (- 1 ux) 3)))))) (pow (- 1 ux) 4))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(- (+ 1 (* maxCos (- (* maxCos (- (* -4 (* maxCos (* (pow ux 3) (- 1 ux)))) (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))) (* 4 (* ux (pow (- 1 ux) 3)))))) (pow (- 1 ux) 4))
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) maxCos) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32))) maxCos (*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(pow (- 1 ux) 4)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(+ (* 4 (* maxCos (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 4))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) maxCos) #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 4))
(fma.f32 (fma.f32 (*.f32 #s(literal 4 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* maxCos (* (pow ux 3) (- 1 ux)))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))))) (pow (- 1 ux) 4))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)))) maxCos (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 4 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 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)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(neg.f32 (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 ux maxCos) (*.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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) maxCos) (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 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #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)
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (neg.f32 (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) ux))
(neg.f32 (*.f32 (*.f32 maxCos maxCos) ux))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))
(*.f32 (*.f32 #s(literal -1 binary32) (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(* maxCos (+ (* -1 (* ux (- 1 ux))) (+ (/ 1 maxCos) (/ (* (- 1 ux) (- ux 1)) maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 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 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) maxCos) (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 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 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 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 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 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 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 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 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)
(* -1 (* maxCos (* ux (+ 2 (* -2 ux)))))
(*.f32 (neg.f32 maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux))
(* maxCos (- (/ (* ux (- 2 ux)) maxCos) (* ux (+ 2 (* -2 ux)))))
(*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux maxCos)) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (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)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (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 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) ux)) #s(literal 2 binary32))))) (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 (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (pow (- 1 ux) 3) ux)) (+ (* 1/2 (/ (* (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (+ (* 2 (/ (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux))))) ux)) (/ (* (+ 1 (pow (- 1 ux) 2)) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) (pow ux 2)))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (+ (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))) (* 2 (/ (* (- 1 ux) (- (* -4 (* ux (- 1 ux))) (* -2 (* ux (- 1 ux))))) ux)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux maxCos)) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal -4 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) ux)) #s(literal 2 binary32))))) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) ux)) (fma.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) ux)) #s(literal 2 binary32) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))))) ux)) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) ux)) #s(literal 2 binary32))))) (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 (* ux (- ux 1)))
(*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos)
(* maxCos (+ (* ux (- ux 1)) (/ (* ux (+ 2 (* -1 ux))) maxCos)))
(*.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux) maxCos)) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux)) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 4) (pow ux 4)))
(neg.f32 (*.f32 (pow.f32 maxCos #s(literal 4 binary32)) (pow.f32 ux #s(literal 4 binary32))))
(* (pow maxCos 4) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal -4 binary32)) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))
(*.f32 (-.f32 (neg.f32 (*.f32 (*.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (/.f32 #s(literal 6 binary32) maxCos))) (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32)))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(*.f32 (-.f32 (*.f32 (*.f32 ux (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 3 binary32))) #s(literal -4 binary32)) (fma.f32 (*.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (/.f32 #s(literal 6 binary32) maxCos) (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32))))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (pow ux 4))
(*.f32 (pow.f32 maxCos #s(literal 4 binary32)) (pow.f32 ux #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(*.f32 (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))))
(*.f32 (fma.f32 (*.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (/.f32 #s(literal 6 binary32) maxCos) (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32)))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(*.f32 (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 ux ux)) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (fma.f32 (*.f32 ux (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 3 binary32))) #s(literal 4 binary32) (+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)) (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32)))))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(neg.f32 (*.f32 (*.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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))))
(* -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)) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 ux maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.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))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (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))))) maxCos))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 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)) (neg.f32 (/.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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (*.f32 ux maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.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))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 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 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) maxCos))))
(* -1 (* maxCos (- (* -1 (/ (* ux (- 2 ux)) maxCos)) (* -1 (* ux (+ 2 (* -2 ux)))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* 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 ux maxCos)) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (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 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* 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)) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) ux)) #s(literal -2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ (pow (- 1 ux) 3) ux)) (+ (* -2 (/ (* (- 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (* -1 (+ 1 (pow (- 1 ux) 2)))))) ux)) (+ (* 1/2 (/ (* (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (+ 1 (pow (- 1 ux) 2)) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (pow ux 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -2 (/ (* (- 1 ux) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) ux)) (+ (* -1 (+ 1 (pow (- 1 ux) 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (* 2 (* ux (- 1 ux))))) (* 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)) (neg.f32 (/.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) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) ux)) #s(literal -2 binary32) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))))) ux)) #s(literal -2 binary32) (fma.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) ux)) #s(literal -2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 ux ux)) #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) ux))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32)) (*.f32 ux ux))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) ux)) #s(literal -2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos))) maxCos))))
(* -1 (* maxCos (* ux (+ 1 (* -1 ux)))))
(*.f32 (neg.f32 maxCos) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) ux))
(* -1 (* maxCos (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 1 (* -1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) ux (neg.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 2 binary32)) ux) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 4) (- (* -1 (/ (- (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) maxCos)) (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) maxCos))) (* -4 (* (pow ux 3) (- 1 ux)))) maxCos)) (pow ux 4)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) #s(literal 6 binary32) (*.f32 #s(literal 4 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)))) maxCos)) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (* ux (pow (- 1 ux) 3)) maxCos)) (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))) maxCos)) (* -4 (* (pow ux 3) (- 1 ux)))) maxCos)) (pow ux 4)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) maxCos) #s(literal -4 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32))) maxCos) #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)))) maxCos)) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) maxCos))) maxCos)) (pow ux 4)))
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)) #s(literal -4 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) #s(literal 6 binary32)))) maxCos) #s(literal -1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (/ (* ux (pow (- 1 ux) 3)) maxCos)))) maxCos))) maxCos)) (pow ux 4)))
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)) #s(literal -4 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) maxCos) #s(literal 4 binary32))) maxCos))) maxCos) #s(literal -1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))

rewrite209.0ms (1.8%)

Memory
-21.7MiB live, 181.9MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075439
0122418
1488373
23860373
08337373
Stop Event
iter limit
node limit
iter limit
Counts
23 → 420
Calls
Call 1
Inputs
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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))
(fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))))
(-.f32 #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 4 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
Outputs
(/.f32 (+.f32 (pow.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)))))
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(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))
(-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)))
(-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)))
(-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos)))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos) (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 ux (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(pow.f32 (neg.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))

eval112.0ms (1%)

Memory
8.0MiB live, 198.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 44 647 to 4 254 computations (90.5% saved)

prune81.0ms (0.7%)

Memory
-30.5MiB live, 159.4MiB allocated; 19ms collecting garbage
Pruning

64 alts after pruning (64 fresh and 0 done)

PrunedKeptTotal
New69032722
Fresh253257
Picked505
Done000
Total72064784
Accuracy
99.8%
Counts
784 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
96.8%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
97.5%
(*.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)))))
54.8%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
96.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
96.9%
(*.f32 (sin.f32 (*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
52.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) ux (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) ux) (fma.f32 maxCos (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)) ux) (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
43.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
78.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) 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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.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))))
92.0%
(*.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)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
58.4%
(*.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)) (*.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))))))
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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
97.3%
(*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(approx (* (* maxCos ux) (+ (* -2 ux) 2)) (*.f32 (*.f32 #s(literal 2 binary32) maxCos) ux)))))))
58.5%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))))))
92.0%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
58.5%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
97.7%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))))))
98.5%
(*.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)))))
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 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
78.2%
(*.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) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
93.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
91.0%
(*.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 (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))))
45.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)) (PI.f32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
67.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.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))))
87.4%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
67.1%
(*.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))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
80.5%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
45.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
45.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
45.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
45.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
47.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
72.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 #s(approx (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (*.f32 (-.f32 (fma.f32 (neg.f32 ux) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 4 binary32) maxCos)) ux)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
47.2%
(*.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 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
46.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
46.2%
(*.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))))))
48.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
25.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
39.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
3.6%
(*.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 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
46.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
28.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos)))))
67.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
91.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)))))
78.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))))
91.0%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
50.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.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))) (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))
47.2%
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
54.6%
#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)))))
Compiler

Compiled 6 722 to 4 086 computations (39.2% saved)

simplify180.0ms (1.6%)

Memory
26.9MiB live, 158.8MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0781015
01291011
12221004
25011004
31461986
44158986
57995986
08071919
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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos)))
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))
(fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))
#s(literal -2 binary32)
ux
(*.f32 (*.f32 ux ux) maxCos)
(*.f32 ux ux)
maxCos
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(-.f32 #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))))
#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 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))
(-.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))))
#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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/.f32 (-.f32 #s(literal 1 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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
(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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))
(*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux)
#s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
#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)))) (*.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)
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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux)))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos (-.f32 #s(literal 2 binary32) ux)) ux)
(neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) ux)
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))
(*.f32 (fma.f32 (+.f32 #s(literal -2 binary32) maxCos) ux #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))
#s(literal -2 binary32)
ux
(*.f32 (*.f32 ux ux) maxCos)
(*.f32 ux ux)
maxCos
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(-.f32 #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))))
(*.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 (+.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 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))
(sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos 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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(/.f32 (-.f32 #s(literal 1 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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 (neg.f32 ux) #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 (neg.f32 ux) #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 (neg.f32 ux) #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)
(*.f32 (fma.f32 (neg.f32 ux) #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux)))
(fma.f32 (neg.f32 ux) #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))
(fma.f32 (neg.f32 ux) #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
(*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux)
#s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
#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)))) (*.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 (/.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 (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 (/.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 (/.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 (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 (/.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))) (*.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))) 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)

localize195.0ms (1.7%)

Memory
-7.3MiB live, 193.0MiB allocated; 32ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.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 (/.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)
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.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))))
accuracy0.15625
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.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 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
accuracy1.151959194489516
#s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)))
accuracy0.34375
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
accuracy0.39453125
(*.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)))
accuracy5.827466656659074
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy14.149408503916577
(-.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))))
accuracy0.31640625
(*.f32 (+.f32 (PI.f32) (PI.f32)) uy)
accuracy0.34375
(*.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))))
accuracy5.827466656659074
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (+.f32 (PI.f32) (PI.f32)) uy))
accuracy7.43810481451617
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy0.14453125
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
accuracy0.171875
(*.f32 (*.f32 ux ux) maxCos)
accuracy0.31640625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34375
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
Samples
118.0ms249×0valid
4.0ms1valid
Compiler

Compiled 676 to 51 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 38.0ms (39.6% of total)
ival-add: 36.0ms (37.6% of total)
ival-sub: 7.0ms (7.3% of total)
ival-sinu: 4.0ms (4.2% of total)
ival-div: 3.0ms (3.1% of total)
ival-pow2: 3.0ms (3.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
adjust: 1.0ms (1% of total)
ival-pi: 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)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
26.3MiB live, 68.5MiB allocated; 13ms collecting garbage
Counts
26 → 141
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux 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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(*.f32 #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 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 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 ux ux) maxCos)
(*.f32 (-.f32 #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))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.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)))
#s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)
(*.f32 (-.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)
Outputs
(* 2 ux)
(* ux (+ 2 (* ux (- maxCos 2))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (- (* -1 (* maxCos (- maxCos 2))) 1)))))
(* -2 ux)
(* ux (- (* ux (- 2 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)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* maxCos (pow ux 2))
(* ux (+ 2 (* -1 ux)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* (pow ux 2) (- maxCos 2))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) 2))
(* (pow ux 2) (- (* maxCos (- 2 maxCos)) 1))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (+ (* maxCos (- 2 maxCos)) (* 2 (/ 1 ux)))) 1))
(* (pow ux 2) (- 2 maxCos))
(* (pow ux 2) (- 2 (+ 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)))))))
(* -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))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (* maxCos (- maxCos 2))) 1))
(* (pow ux 2) (- (+ (* -1 (* maxCos (- maxCos 2))) (* -1 (/ (- (* 2 maxCos) 2) ux))) 1))
(* -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))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* ux (+ 2 (* -2 ux)))
(+ (* maxCos (pow ux 2)) (* ux (+ 2 (* -2 ux))))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(* -1 (* ux (+ 2 (* -2 ux))))
(- (* -1 (* maxCos (pow ux 2))) (* ux (+ 2 (* -2 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(* 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 (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* maxCos (+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* -1 (* maxCos (pow ux 2)))
(* maxCos (- (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (pow ux 2)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(pow maxCos 2)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* -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)))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* maxCos (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (- (/ (* ux (+ 2 (* -2 ux))) maxCos) (* -1 (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 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 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))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
maxCos
@inf
((+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (+ (* (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) maxCos) (* (- 2 ux) ux)) (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* ux ux) maxCos) (* (- 2 ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow (- maxCos 1) 2) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux))
7.0ms
uy
@-inf
((+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (+ (* (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) maxCos) (* (- 2 ux) ux)) (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* ux ux) maxCos) (* (- 2 ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow (- maxCos 1) 2) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux))
4.0ms
ux
@-inf
((+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (+ (* (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) maxCos) (* (- 2 ux) ux)) (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* ux ux) maxCos) (* (- 2 ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow (- maxCos 1) 2) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux))
4.0ms
ux
@0
((+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (+ (* (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) maxCos) (* (- 2 ux) ux)) (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* ux ux) maxCos) (* (- 2 ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow (- maxCos 1) 2) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux))
3.0ms
ux
@inf
((+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (+ (* (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) maxCos) (* (- 2 ux) ux)) (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (PI) (PI)) uy) (+ (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* ux ux) maxCos) (* (- 2 ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow (- maxCos 1) 2) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (* (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) ux))

simplify183.0ms (1.6%)

Memory
1.4MiB live, 282.5MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06063227
121463049
084772896
Stop Event
iter limit
node limit
Counts
141 → 141
Calls
Call 1
Inputs
(* 2 ux)
(* ux (+ 2 (* ux (- maxCos 2))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (- (* -1 (* maxCos (- maxCos 2))) 1)))))
(* -2 ux)
(* ux (- (* ux (- 2 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)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* maxCos (pow ux 2))
(* ux (+ 2 (* -1 ux)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* (pow ux 2) (- maxCos 2))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) 2))
(* (pow ux 2) (- (* maxCos (- 2 maxCos)) 1))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (+ (* maxCos (- 2 maxCos)) (* 2 (/ 1 ux)))) 1))
(* (pow ux 2) (- 2 maxCos))
(* (pow ux 2) (- 2 (+ 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)))))))
(* -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))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (* maxCos (- maxCos 2))) 1))
(* (pow ux 2) (- (+ (* -1 (* maxCos (- maxCos 2))) (* -1 (/ (- (* 2 maxCos) 2) ux))) 1))
(* -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))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* ux (+ 2 (* -2 ux)))
(+ (* maxCos (pow ux 2)) (* ux (+ 2 (* -2 ux))))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(* -1 (* ux (+ 2 (* -2 ux))))
(- (* -1 (* maxCos (pow ux 2))) (* ux (+ 2 (* -2 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(* 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 (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* maxCos (+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* -1 (* maxCos (pow ux 2)))
(* maxCos (- (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (pow ux 2)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(pow maxCos 2)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* -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)))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* maxCos (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (- (/ (* ux (+ 2 (* -2 ux))) maxCos) (* -1 (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 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 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))))
Outputs
(* 2 ux)
(*.f32 #s(literal 2 binary32) ux)
(* ux (+ 2 (* ux (- maxCos 2))))
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 2 binary32)) ux)
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* ux (- (* -1 (* maxCos (- maxCos 2))) 1)))))
(*.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 maxCos) (-.f32 maxCos #s(literal 2 binary32))) #s(literal 1 binary32)) ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(* -2 ux)
(*.f32 #s(literal -2 binary32) ux)
(* ux (- (* ux (- 2 maxCos)) 2))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) ux)
(* (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 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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 #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 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 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 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (*.f32 (*.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))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 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 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) ux #s(literal 1 binary32))
(* maxCos (pow ux 2))
(*.f32 (*.f32 ux ux) maxCos)
(* ux (+ 2 (* -1 ux)))
(*.f32 (-.f32 #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 (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))) ux)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)))
(* (pow ux 2) (- maxCos 2))
(*.f32 (*.f32 (-.f32 maxCos #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) 2))
(*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (* maxCos (- 2 maxCos)) 1))
(*.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (+ (* maxCos (- 2 maxCos)) (* 2 (/ 1 ux)))) 1))
(*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- 2 maxCos))
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) ux)
(* (pow ux 2) (- 2 (+ maxCos (* 2 (/ 1 ux)))))
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos)) ux) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.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 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.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 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.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 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) ux)
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) ux #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.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 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -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)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* (pow ux 2) (- (* -1 (* maxCos (- maxCos 2))) 1))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 (neg.f32 maxCos) (-.f32 maxCos #s(literal 2 binary32))) #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -1 (* maxCos (- maxCos 2))) (* -1 (/ (- (* 2 maxCos) 2) ux))) 1))
(*.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux))) #s(literal 1 binary32)) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (neg.f32 ux))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* (pow ux 2) (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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(* -1 (* ux (+ 1 (* -1 maxCos))))
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(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
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(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
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(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
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(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 1) 2))))
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(* 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)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (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 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(* 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)
(* (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)))
(* ux (+ 2 (* -2 ux)))
(*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)
(+ (* maxCos (pow ux 2)) (* ux (+ 2 (* -2 ux))))
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (neg.f32 maxCos) (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(* -1 (* ux (+ 2 (* -2 ux))))
(*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 ux))
(- (* -1 (* maxCos (pow ux 2))) (* ux (+ 2 (* -2 ux))))
(neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux 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 #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 (*.f32 (neg.f32 maxCos) (*.f32 (*.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) (-.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 #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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #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 maxCos #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #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))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos #s(literal 1 binary32))
(* 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 (*.f32 ux (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(* maxCos (+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2)))
(*.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (pow ux 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) maxCos)
(* maxCos (- (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (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 (-.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 #s(literal 2 binary32) uy) (PI.f32))))) 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 (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))) 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 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))) 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 (neg.f32 ux) ux)) 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 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) maxCos) maxCos)
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 ux) (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos) ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 ux) (+ (/ (* ux (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* ux (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 ux (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (/ (* ux (+ 2 (* -2 ux))) maxCos) (* -1 (pow ux 2)))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (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 (-.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 #s(literal 2 binary32) uy) (PI.f32))))))
(* -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 ux (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (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 #s(literal 2 binary32) uy) (PI.f32))) (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 ux (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)) (/.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) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* (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))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos))) (*.f32 maxCos 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 (-.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))) (neg.f32 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 ux ux (*.f32 ux (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))

rewrite159.0ms (1.4%)

Memory
13.5MiB live, 246.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078476
0129445
1441441
23347441
08122425
Stop Event
iter limit
node limit
iter limit
Counts
26 → 318
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux 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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(*.f32 #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 #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 (-.f32 #s(literal 1 binary32) ux) (*.f32 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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 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 ux ux) maxCos)
(*.f32 (-.f32 #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))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.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)))
#s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux)
(*.f32 (-.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)
Outputs
(*.f32 ux (+.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux)))
(*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 ux (*.f32 (neg.f32 ux) maxCos)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos maxCos) (*.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 ux (*.f32 (neg.f32 ux) maxCos))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32)))) (neg.f32 (*.f32 ux (-.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 maxCos (*.f32 ux ux)) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32))) (*.f32 ux (-.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux))))
(/.f32 (fma.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos maxCos) (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) maxCos) (*.f32 ux ux)))))
(/.f32 (fma.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos (*.f32 ux ux)) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 ux (-.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux)))) (/.f32 (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 ux (-.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux)))))
(-.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 ux (*.f32 (neg.f32 ux) maxCos)))
(-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 ux) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) maxCos) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (*.f32 maxCos ux) ux (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 maxCos (*.f32 ux ux) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (*.f32 ux ux) maxCos (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux (*.f32 maxCos (*.f32 ux ux)))
(fma.f32 ux (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos (*.f32 ux ux)))
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos (*.f32 ux ux)) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos (*.f32 ux ux)) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))
(+.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 maxCos (*.f32 ux ux)))
(+.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) #s(literal 3 binary32)) (neg.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (neg.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos))) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) #s(literal 3 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos))) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))
(-.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 2 binary32) ux)))
(-.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (neg.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (neg.f32 (neg.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))))) maxCos))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (neg.f32 maxCos) (neg.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))))))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos))
(fma.f32 (-.f32 #s(literal 2 binary32) ux) ux (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)))
(fma.f32 (neg.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))) maxCos (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 2 binary32) ux))) ux))
(fma.f32 (neg.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(fma.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 2 binary32) ux))) ux))
(fma.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(fma.f32 maxCos (neg.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 2 binary32) ux))) ux))
(fma.f32 maxCos (neg.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)))
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos))) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos))) (pow.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) maxCos) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 2 binary32) ux))) ux))
(+.f32 (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(+.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 ux (fma.f32 maxCos ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)))) (neg.f32 maxCos)))
(/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (pow.f32 (*.f32 ux (*.f32 (neg.f32 ux) maxCos)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 ux (*.f32 (neg.f32 ux) maxCos))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32)))) (*.f32 ux (-.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos (*.f32 ux ux)) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32))) (-.f32 (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 ux (*.f32 (neg.f32 ux) maxCos))))
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos (*.f32 ux ux)) #s(literal 2 binary32))) (neg.f32 (*.f32 ux (-.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 maxCos ux)))))
(/.f32 (fma.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (neg.f32 (fma.f32 (*.f32 maxCos (*.f32 ux ux)) (-.f32 (*.f32 maxCos (*.f32 ux ux)) (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))
(fma.f32 (neg.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) ux (*.f32 ux (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 ux) (*.f32 maxCos ux) (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 ux (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 maxCos (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (*.f32 ux ux) (neg.f32 maxCos) (*.f32 (neg.f32 ux) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 ux) (*.f32 ux (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 ux (neg.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 ux (*.f32 (neg.f32 ux) maxCos)))
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(/.f32 (*.f32 ux (-.f32 #s(literal 8 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux (+.f32 #s(literal 2 binary32) ux) #s(literal 4 binary32)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(*.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(literal 1 binary32))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))
(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (*.f32 maxCos ux) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (*.f32 maxCos ux)))
(fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))
(+.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))
(+.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (*.f32 maxCos ux)) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (*.f32 maxCos ux)))
#s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32)))
(*.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) ux)
(*.f32 ux (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) #s(literal 2 binary32))) ux) (-.f32 (*.f32 maxCos #s(literal -2 binary32)) (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux))))
(/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (*.f32 maxCos #s(literal -2 binary32))))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (*.f32 maxCos #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) #s(literal 2 binary32)))) (-.f32 (*.f32 maxCos #s(literal -2 binary32)) (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux))))
(/.f32 (*.f32 ux (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (*.f32 maxCos #s(literal -2 binary32))))))
(fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) ux (*.f32 (*.f32 maxCos #s(literal -2 binary32)) ux))
(fma.f32 (*.f32 maxCos #s(literal -2 binary32)) ux (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) ux))
(fma.f32 ux (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (*.f32 ux (*.f32 maxCos #s(literal -2 binary32))))
(fma.f32 ux (*.f32 maxCos #s(literal -2 binary32)) (*.f32 ux (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux))))
(+.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) ux) (*.f32 (*.f32 maxCos #s(literal -2 binary32)) ux))
(+.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux))) (*.f32 ux (*.f32 maxCos #s(literal -2 binary32))))
(+.f32 (*.f32 ux (*.f32 maxCos #s(literal -2 binary32))) (*.f32 ux (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux))))
(+.f32 (*.f32 (*.f32 maxCos #s(literal -2 binary32)) ux) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(*.f32 ux (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) ux) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) ux) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux)) (neg.f32 ux))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 ux (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #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 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #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 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))

eval106.0ms (0.9%)

Memory
-26.9MiB live, 166.2MiB allocated; 89ms collecting garbage
Compiler

Compiled 26 540 to 2 808 computations (89.4% saved)

prune117.0ms (1%)

Memory
3.1MiB live, 294.7MiB allocated; 16ms collecting garbage
Pruning

70 alts after pruning (69 fresh and 1 done)

PrunedKeptTotal
New43522457
Fresh124759
Picked415
Done000
Total45170521
Accuracy
99.8%
Counts
521 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
96.8%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
97.5%
(*.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)))))
54.8%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
97.8%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (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))))
96.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
96.9%
(*.f32 (sin.f32 (*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
52.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) ux (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)) ux) (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
43.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
78.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (*.f32 maxCos #s(literal -2 binary32)))))))))
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)))) (*.f32 #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) ux) (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))) ux))))
92.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #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))))
49.5%
(*.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) (*.f32 (-.f32 (*.f32 ux (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) ux) (*.f32 maxCos maxCos))) ux))))
92.0%
(*.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)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
98.4%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (/.f32 (*.f32 (-.f32 #s(literal 4 binary32) (*.f32 ux ux)) ux) (+.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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 #s(approx (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
97.3%
(*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
92.0%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
58.4%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos))) (*.f32 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 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))))))
58.4%
(*.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) (*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))))))
98.5%
(*.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)))))
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 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
78.2%
(*.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) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
67.2%
(*.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 (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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
45.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)) (PI.f32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
72.1%
(*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
87.4%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
67.4%
(*.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))))
67.1%
(*.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))))
67.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
66.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
80.5%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
45.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
45.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
47.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
45.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
47.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
47.2%
(*.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 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
46.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
47.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)))))))
46.2%
(*.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))))))
48.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
25.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
46.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
46.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
39.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
26.5%
(*.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 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos)))))
3.6%
(*.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 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
46.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
28.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos)))))
67.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
80.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
91.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)))))
78.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))))
91.0%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
47.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
50.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.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))) (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))
47.2%
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
Compiler

Compiled 10 729 to 3 142 computations (70.7% saved)

regimes398.0ms (3.5%)

Memory
18.1MiB live, 630.7MiB allocated; 50ms collecting garbage
Counts
141 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 #s(approx (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (*.f32 (-.f32 (fma.f32 (neg.f32 ux) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 4 binary32) maxCos)) ux)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 (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 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32))) ux)) (*.f32 maxCos #s(literal -2 binary32)))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 maxCos ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (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 (*.f32 uy #s(literal 2 binary32)) (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 (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))))))
#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)))))
(*.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 (/.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(approx (sin (* (* uy 2) (PI))) (*.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)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) ux) (fma.f32 maxCos (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.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)))))
(*.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 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32))))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 binary32)) (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 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (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 -1/8 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 #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)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Calls

11 calls:

60.0ms
(*.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))))))
39.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
35.0ms
maxCos
35.0ms
ux
33.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
98.5%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)

regimes229.0ms (2%)

Memory
7.5MiB live, 288.9MiB allocated; 18ms collecting garbage
Counts
67 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
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(*.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))))))
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(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 #s(approx (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.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) 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)))))
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (- (* (- 2 ux) ux) (* (* maxCos ux) (+ (* -2 ux) 2))) (*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 #s(approx (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
Calls

11 calls:

42.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
41.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
18.0ms
ux
18.0ms
maxCos
17.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
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 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%1uy
98.5%1maxCos
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 (sin.f32 (*.f32 (*.f32 uy #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
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes202.0ms (1.8%)

Memory
12.5MiB live, 257.3MiB allocated; 27ms collecting garbage
Counts
62 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos 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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(approx (* (* maxCos ux) (+ (* -2 ux) 2)) (*.f32 (*.f32 #s(literal 2 binary32) maxCos) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 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 (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)) (*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (*.f32 maxCos maxCos)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (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 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 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) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (/.f32 (*.f32 (*.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))))
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 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
Calls

11 calls:

34.0ms
(*.f32 uy #s(literal 2 binary32))
30.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
19.0ms
(*.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))))))
17.0ms
uy
16.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
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%1ux
98.4%1uy
98.4%1maxCos
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))))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes151.0ms (1.3%)

Memory
-6.1MiB live, 273.3MiB allocated; 21ms collecting garbage
Counts
54 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos 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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(approx (* (* maxCos ux) (+ (* -2 ux) 2)) (*.f32 (*.f32 #s(literal 2 binary32) maxCos) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 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 (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)) (*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (*.f32 maxCos maxCos)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (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 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (+ (* maxCos ux) (- 1 ux)) 4)) (+ (pow (+ (* maxCos ux) (- 1 ux)) 2) 1)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux))))
Outputs
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
Calls

11 calls:

16.0ms
uy
16.0ms
maxCos
15.0ms
ux
14.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
14.0ms
(*.f32 uy #s(literal 2 binary32))
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 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%1uy
97.8%1maxCos
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 (sin.f32 (*.f32 (*.f32 uy #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
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes130.0ms (1.1%)

Memory
6.6MiB live, 295.6MiB allocated; 17ms collecting garbage
Counts
46 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos 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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(approx (* (* maxCos ux) (+ (* -2 ux) 2)) (*.f32 (*.f32 #s(literal 2 binary32) maxCos) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
Outputs
(*.f32 (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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
Calls

11 calls:

15.0ms
maxCos
13.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
12.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
12.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
12.0ms
(*.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))))))
Results
AccuracySegmentsBranch
97.3%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.3%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.3%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
97.3%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
97.3%1(*.f32 uy #s(literal 2 binary32))
97.3%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.3%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.3%1uy
97.3%1maxCos
97.3%1ux
97.3%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes119.0ms (1%)

Memory
4.7MiB live, 243.3MiB allocated; 13ms collecting garbage
Counts
42 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos 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 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #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)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (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 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #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))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
Calls

11 calls:

16.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
11.0ms
ux
11.0ms
uy
11.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
10.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
92.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
92.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
96.2%2(*.f32 uy #s(literal 2 binary32))
96.2%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
92.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
92.0%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))))))
96.2%2uy
95.8%2maxCos
92.0%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))))
92.0%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)))))
92.0%1ux
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes114.0ms (1%)

Memory
-16.1MiB live, 171.3MiB allocated; 10ms collecting garbage
Counts
36 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 maxCos ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
Calls

11 calls:

20.0ms
uy
11.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
10.0ms
(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)))))
10.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
10.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
80.9%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
80.9%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))))))
80.9%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))))
80.9%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)))))
80.9%1ux
80.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
80.9%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
80.9%1maxCos
80.9%1(*.f32 uy #s(literal 2 binary32))
80.9%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
80.9%1uy
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes89.0ms (0.8%)

Memory
25.6MiB live, 167.8MiB allocated; 7ms collecting garbage
Counts
32 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 ux maxCos (*.f32 (/.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) #s(literal -1 binary32) maxCos) ux)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos)) maxCos)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Calls

11 calls:

9.0ms
(-.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))))
9.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
9.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
8.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
8.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
80.9%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))))))
80.9%1maxCos
80.9%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))))
80.9%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)))))
80.9%1(*.f32 uy #s(literal 2 binary32))
80.9%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
80.9%1ux
80.9%1uy
80.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
80.9%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
80.9%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes64.0ms (0.6%)

Memory
-11.8MiB live, 128.7MiB allocated; 4ms 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
Calls

11 calls:

7.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
7.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
6.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
6.0ms
(*.f32 uy #s(literal 2 binary32))
6.0ms
ux
Results
AccuracySegmentsBranch
80.9%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))))))
80.9%1maxCos
80.9%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))))
80.9%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)))))
80.9%1ux
80.9%1(*.f32 uy #s(literal 2 binary32))
80.9%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
80.9%1uy
80.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
80.9%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
80.9%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes79.0ms (0.7%)

Memory
-15.3MiB live, 79.5MiB allocated; 6ms 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 #s(approx (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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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)) (fma.f32 (-.f32 maxCos #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 (fma.f32 #s(approx (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) (neg.f32 maxCos)) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
Calls

11 calls:

19.0ms
maxCos
15.0ms
uy
5.0ms
ux
5.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
5.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
80.5%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))))))
80.5%1maxCos
80.5%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))))
80.5%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)))))
80.5%1(*.f32 uy #s(literal 2 binary32))
80.5%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
80.5%1ux
80.5%1uy
80.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
80.5%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
80.5%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes70.0ms (0.6%)

Memory
32.0MiB live, 78.4MiB allocated; 2ms collecting garbage
Counts
14 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
Calls

11 calls:

31.0ms
uy
4.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
4.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
4.0ms
ux
Results
AccuracySegmentsBranch
70.7%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))))))
67.1%1maxCos
76.7%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.7%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.7%2ux
67.1%1(*.f32 uy #s(literal 2 binary32))
67.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
67.1%1uy
76.7%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.7%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
67.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes42.0ms (0.4%)

Memory
-16.0MiB live, 29.4MiB allocated; 5ms collecting garbage
Counts
13 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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))))))
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:

26.0ms
(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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Results
AccuracySegmentsBranch
76.7%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.7%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
76.7%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.7%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.7%2ux
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes60.0ms (0.5%)

Memory
-29.7MiB live, 27.7MiB allocated; 37ms 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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)))))))
Outputs
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 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:

45.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
3.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms
ux
3.0ms
(+.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
76.7%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.7%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.7%2ux
76.7%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.7%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes15.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
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))))
#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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
Calls

5 calls:

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 (-.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))))
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
76.6%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.6%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.6%2ux
76.6%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.6%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes14.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
9 → 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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))))))
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:

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
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
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))))
2.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
75.9%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
75.9%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
75.9%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
75.9%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
75.7%2ux
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes33.0ms (0.3%)

Memory
-32.8MiB live, 13.7MiB allocated; 3ms 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #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 (-.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) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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

4 calls:

25.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
2.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Results
AccuracySegmentsBranch
75.8%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
75.8%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
75.8%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
75.8%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 57 to 34 computations (40.4% saved)

regimes9.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB 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

7 calls:

1.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
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
ux
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 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
67.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
67.1%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))))))
67.1%1ux
67.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
67.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
67.1%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
67.1%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Compiler

Compiled 89 to 61 computations (31.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0002412052417639643
0.00026178560801781714
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001452270516892895
0.00016547212726436555
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999669075012207
0.9997094869613647
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999669075012207
0.9997094869613647
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001452270516892895
0.00016547212726436555
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.99772047996521
0.9978895783424377
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.99772047996521
0.9978895783424377
Compiler

Compiled 28 to 21 computations (25% saved)

simplify69.0ms (0.6%)

Memory
-12.4MiB live, 34.0MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02011165
13641161
27121161
316751157
434811157
563421157
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 #s(approx (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 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 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 8589935/34359738368 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) 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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(if (<=.f32 ux #s(literal 5153961/34359738368 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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
(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 16772183/16777216 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 16772183/16777216 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 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 ux #s(literal 5153961/34359738368 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)))) #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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(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 8370153/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #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 8370153/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 (neg.f32 #s(approx (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos)) (*.f32 (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 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 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (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 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #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 (* (pow (- maxCos 1) 2) ux))) ux) (fma.f32 #s(approx (neg (+ (* (+ (* -2 ux) 2) ux) (* (* ux ux) maxCos))) (*.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 8589935/34359738368 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 8589935/34359738368 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 ux))) (- 1 ux)) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (+.f32 (fma.f32 (neg.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 maxCos)) #s(literal 2 binary32)) 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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(if (<=.f32 ux #s(literal 5153961/34359738368 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) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
(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 16772183/16777216 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 16772183/16777216 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 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 ux #s(literal 5153961/34359738368 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)))) #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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(if (<=.f32 ux #s(literal 5153961/34359738368 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)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(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 8370153/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #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 8370153/8388608 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (+ (* (* (neg maxCos) (+ (* maxCos ux) (- 1 ux))) ux) (+ (* (neg (+ (* maxCos ux) (- 1 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 8370153/8388608 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)))) (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))))

derivations1.9s (17.1%)

Memory
-31.7MiB live, 1 289.1MiB allocated; 815ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075439
0122418
1488373
23860373
08337373
0158711880
1580211703
0828511090
09776389
135525838
083115548
04192265
114722148
265572130
081892026
01675
02754
111054
290854
0839250
058327
0100246
1361246
22593246
010595246
06063227
121463049
084772896
078476
0129445
1441441
23347441
08122425
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
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 181 to 193 computations (83.7% saved)

preprocess104.0ms (0.9%)

Memory
26.8MiB live, 171.6MiB allocated; 15ms collecting garbage
Remove

(negabs uy)

Compiler

Compiled 2 756 to 634 computations (77% saved)

end0.0ms (0%)

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

Profiling

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