UniformSampleCone, y

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze200.0ms (1.8%)

Memory
-8.9MiB live, 261.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
0%0%0.1%99.9%0%0%0%3
12.5%0%0.1%99.9%0%0%0%4
18.7%0%0.1%99.9%0%0%0%5
28.1%0%0.1%99.9%0%0%0%6
42.2%0%0.1%99.9%0%0%0%7
49.2%0%0%99.9%0%0%0%8
57.4%0.1%0%99.9%0%0%0%9
67%0.1%0%99.9%0%0%0%10
71.8%0.1%0%99.9%0%0%0%11
76.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 49 to 28 computations (42.9% saved)

sample2.0s (18.6%)

Memory
110.1MiB live, 2 059.2MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 286.0ms (27% of total)
ival-<=: 227.0ms (21.4% of total)
const: 141.0ms (13.3% of total)
ival-sinu: 137.0ms (12.9% of total)
ival-sqrt: 93.0ms (8.8% of total)
ival-sub: 87.0ms (8.2% of total)
ival-add: 42.0ms (4% of total)
ival-and: 32.0ms (3% of total)
exact: 12.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain194.0ms (1.8%)

Memory
-26.6MiB live, 248.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1902(0.0019759817514568567 3.721809971324319e-9 0.007020256016403437)1(0.005152365658432245 1.7418672371150024e-7 1.822378782167372e-13)(-.f32 #s(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))))cancellation19111
Confusion
Predicted +Predicted -
+1871
-464
Precision
0.9790575916230366
Recall
0.9946808510638298
Confusion?
Predicted +Predicted MaybePredicted -
+18710
-41054
Precision?
0.9306930693069307
Recall?
1.0
Freqs
test
numberfreq
065
1191
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms506×0valid
1.0ms1valid
Compiler

Compiled 353 to 68 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 15.0ms (38.3% of total)
ival-sinu: 10.0ms (25.5% of total)
ival-sub: 5.0ms (12.8% of total)
ival-add: 3.0ms (7.7% of total)
ival-sqrt: 3.0ms (7.7% of total)
ival-pi: 2.0ms (5.1% of total)
exact: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess396.0ms (3.6%)

Memory
-25.7MiB live, 323.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(*.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)

simplify182.0ms (1.7%)

Memory
17.8MiB live, 174.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize41.0ms (0.4%)

Memory
18.1MiB live, 55.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.33984375
(*.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))))))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.00580944120512
(-.f32 #s(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
30.0ms253×0valid
1.0ms1valid
Compiler

Compiled 218 to 34 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.6% of total)
ival-sinu: 4.0ms (22% of total)
ival-sub: 2.0ms (11% of total)
ival-sqrt: 2.0ms (11% of total)
ival-pi: 1.0ms (5.5% of total)
ival-add: 1.0ms (5.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series141.0ms (1.3%)

Memory
-30.0MiB live, 53.9MiB allocated
Counts
6 → 73
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Outputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
114.0ms
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)))
11.0ms
maxCos
@inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
uy
@inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
ux
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
ux
@-inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify208.0ms (1.9%)

Memory
39.8MiB live, 191.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192267
113692135
252531979
082391886
Stop Event
iter limit
node limit
Counts
73 → 73
Calls
Call 1
Inputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) #s(literal -1/16 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux ux)) #s(literal -1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) (neg.f32 ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) maxCos))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.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))))) maxCos) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32)) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 ux ux)) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 ux ux))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))

rewrite239.0ms (2.2%)

Memory
11.4MiB live, 396.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02757
110357
284357
0921853
Stop Event
iter limit
node limit
iter limit
Counts
6 → 638
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Outputs
(*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal -1 binary32))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 #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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 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))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
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(fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) #s(literal 1 binary32)) ux (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 (-.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 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) maxCos) ux) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 maxCos ux) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 maxCos #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 maxCos maxCos) (*.f32 ux ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
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(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
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(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 ux ux) (*.f32 maxCos maxCos) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
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(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
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(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 maxCos ux) (*.f32 maxCos ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 maxCos (*.f32 (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos (*.f32 (*.f32 ux ux) maxCos) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 ux (*.f32 #s(literal 1 binary32) (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 ux (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 (*.f32 maxCos maxCos) ux) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(pow.f32 (exp.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(+.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(+.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) uy)) (PI.f32))
(*.f32 (*.f32 #s(literal 1 binary32) uy) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) uy))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) uy))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) #s(literal 1 binary32))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) uy))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))

eval221.0ms (2%)

Memory
-5.0MiB live, 306.1MiB allocated
Compiler

Compiled 40 372 to 4 235 computations (89.5% saved)

prune65.0ms (0.6%)

Memory
5.5MiB live, 128.5MiB allocated
Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New78240822
Fresh000
Picked101
Done000
Total78340823
Accuracy
95.9%
Counts
823 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
58.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.5%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
17.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
18.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
24.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))))
25.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
24.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
23.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))
24.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
34.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
19.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
19.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
20.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
18.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))))))
58.3%
(*.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) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
20.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.2%
(*.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) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.8%
(*.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 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
58.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
59.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) 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))))))
58.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.9%
(*.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)) #s(literal 1 binary32))))))
3.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
28.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
58.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
21.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
48.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
31.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
22.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
30.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
3.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux))))
52.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.9%
#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))))))
50.9%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 3 040 to 1 770 computations (41.8% saved)

simplify186.0ms (1.7%)

Memory
18.1MiB live, 204.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
cost-diff64
(-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
cost-diff64
(-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
cost-diff64
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff416
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068883
0117877
1204876
2492866
31728866
46547866
08160786
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(*.f32 maxCos ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos))
(*.f32 ux ux)
ux
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(*.f32 #s(literal -2 binary32) ux)
#s(literal -2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
maxCos
(*.f32 maxCos maxCos)
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(cbrt.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (*.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 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (*.f32 ux ux))))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (*.f32 ux ux)))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (*.f32 ux ux))))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (*.f32 ux ux)))
(-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos))
(fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (*.f32 ux ux))
(*.f32 ux ux)
ux
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)
(*.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos))
(*.f32 #s(literal -2 binary32) ux)
#s(literal -2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
maxCos
(*.f32 maxCos maxCos)
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 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))))
(sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(cbrt.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(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

localize262.0ms (2.4%)

Memory
-17.7MiB live, 321.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.34375
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy0.521816259768442
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.33984375
(*.f32 (*.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) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))
accuracy14.318907541612912
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
accuracy0.33984375
(*.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 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
accuracy0.34375
(*.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))))))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy5.593166086416355
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.33984375
(*.f32 (*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
Samples
204.0ms251×0valid
4.0ms1valid
Compiler

Compiled 1 610 to 122 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 41.0ms (28% of total)
ival-sqrt: 38.0ms (25.9% of total)
ival-sub: 37.0ms (25.2% of total)
ival-div: 5.0ms (3.4% of total)
ival-add: 5.0ms (3.4% of total)
const: 4.0ms (2.7% of total)
ival-sinu: 4.0ms (2.7% of total)
ival-pow: 4.0ms (2.7% of total)
ival-sin: 3.0ms (2% of total)
ival-cbrt: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
2.3MiB live, 81.5MiB allocated
Counts
25 → 123
Calls
Call 1
Inputs
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos))
(-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* maxCos ux))
(/ 1 (pow maxCos 2))
(+ (* ux (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) (/ 1 (pow maxCos 2)))
(+ (* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))) (* 2 (/ 1 (pow maxCos 2))))) (/ 1 (pow maxCos 2)))
(/ -1 maxCos)
(- (* ux (- (/ 1 maxCos) 2)) (/ 1 maxCos))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2)))))))
(+ 1 (* ux (+ (* (pow maxCos 2) (* ux (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* (pow ux 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))
(* (pow ux 2) (- (+ 1 (/ 2 (* maxCos ux))) (+ (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) (/ 2 (* (pow maxCos 2) ux)))))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (/ 2 (* maxCos ux)))) (+ (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) (/ 2 (* (pow maxCos 2) ux)))))
(* ux (- (/ 1 maxCos) 2))
(* ux (- (/ 1 maxCos) (+ 2 (/ 1 (* maxCos ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (* (pow ux 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))) (+ (/ 1 (pow ux 2)) (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 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)))))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))) ux)) (/ 1 (pow maxCos 2)))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (pow maxCos 2))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))) ux)) (/ 1 (pow maxCos 2)))) (* 2 (/ 1 maxCos))))
(* -1 (* ux (- 2 (/ 1 maxCos))))
(* -1 (* ux (- (+ 2 (/ 1 (* maxCos ux))) (/ 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 maxCos 2) (* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)) (* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* (pow ux 2) (+ (* -1 (/ (- (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) (/ 1 ux)) ux)) (* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 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 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))
(/ (- (* 2 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))) (pow maxCos 2))
(/ (- (* maxCos (- (* maxCos (pow ux 2)) (* -2 (* ux (- 1 ux))))) (* (- 1 ux) (- ux 1))) (pow maxCos 2))
(/ (- ux 1) maxCos)
(/ (- (+ ux (* -2 (* maxCos ux))) 1) maxCos)
(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 (* (- 1 ux) (- ux 1)))
(+ (* -1 (* (- 1 ux) (- ux 1))) (* 2 (* maxCos (* ux (- 1 ux)))))
(+ (* -1 (* (- 1 ux) (- ux 1))) (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* 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)))))))
(* maxCos (+ ux (/ 1 maxCos)))
(pow ux 2)
(+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))
(- (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))) (pow ux 2)) (* -2 (/ (* ux (- 1 ux)) maxCos)))
(* -2 ux)
(- (+ (* -2 ux) (/ ux maxCos)) (/ 1 maxCos))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (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))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(+ (* -1 (/ (- (* -1 (/ (pow (- 1 ux) 2) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(+ (* -2 ux) (* -1 (/ (- 1 ux) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
ux
@inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (- (* -2 ux) (/ (- 1 ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6)) (* uy (* 2 (sqrt (PI)))))
5.0ms
uy
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (- (* -2 ux) (/ (- 1 ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6)) (* uy (* 2 (sqrt (PI)))))
5.0ms
ux
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (- (* -2 ux) (/ (- 1 ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6)) (* uy (* 2 (sqrt (PI)))))
4.0ms
uy
@0
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (- (* -2 ux) (/ (- 1 ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6)) (* uy (* 2 (sqrt (PI)))))
3.0ms
ux
@0
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (- (* -2 ux) (/ (- 1 ux) maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* (* uy (* 2 (sqrt (PI)))) (cbrt (PI))) (pow (PI) 1/6)) (* uy (* 2 (sqrt (PI)))))

simplify564.0ms (5.2%)

Memory
11.5MiB live, 166.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603092
118222897
266582870
083272741
Stop Event
iter limit
node limit
Counts
123 → 123
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* maxCos ux))
(/ 1 (pow maxCos 2))
(+ (* ux (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) (/ 1 (pow maxCos 2)))
(+ (* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))) (* 2 (/ 1 (pow maxCos 2))))) (/ 1 (pow maxCos 2)))
(/ -1 maxCos)
(- (* ux (- (/ 1 maxCos) 2)) (/ 1 maxCos))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2)))))))
(+ 1 (* ux (+ (* (pow maxCos 2) (* ux (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* (pow ux 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))
(* (pow ux 2) (- (+ 1 (/ 2 (* maxCos ux))) (+ (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) (/ 2 (* (pow maxCos 2) ux)))))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (/ 2 (* maxCos ux)))) (+ (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) (/ 2 (* (pow maxCos 2) ux)))))
(* ux (- (/ 1 maxCos) 2))
(* ux (- (/ 1 maxCos) (+ 2 (/ 1 (* maxCos ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (* (pow ux 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))) (+ (/ 1 (pow ux 2)) (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 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)))))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))) ux)) (/ 1 (pow maxCos 2)))) (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (pow maxCos 2))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))) ux)) (/ 1 (pow maxCos 2)))) (* 2 (/ 1 maxCos))))
(* -1 (* ux (- 2 (/ 1 maxCos))))
(* -1 (* ux (- (+ 2 (/ 1 (* maxCos ux))) (/ 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 maxCos 2) (* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)) (* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* (pow ux 2) (+ (* -1 (/ (- (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) (/ 1 ux)) ux)) (* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 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 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))
(/ (- (* 2 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))) (pow maxCos 2))
(/ (- (* maxCos (- (* maxCos (pow ux 2)) (* -2 (* ux (- 1 ux))))) (* (- 1 ux) (- ux 1))) (pow maxCos 2))
(/ (- ux 1) maxCos)
(/ (- (+ ux (* -2 (* maxCos ux))) 1) maxCos)
(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 (* (- 1 ux) (- ux 1)))
(+ (* -1 (* (- 1 ux) (- ux 1))) (* 2 (* maxCos (* ux (- 1 ux)))))
(+ (* -1 (* (- 1 ux) (- ux 1))) (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* 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)))))))
(* maxCos (+ ux (/ 1 maxCos)))
(pow ux 2)
(+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))
(- (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))) (pow ux 2)) (* -2 (/ (* ux (- 1 ux)) maxCos)))
(* -2 ux)
(- (+ (* -2 ux) (/ ux maxCos)) (/ 1 maxCos))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (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))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(+ (* -1 (/ (- (* -1 (/ (pow (- 1 ux) 2) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(+ (* -2 ux) (* -1 (/ (- 1 ux) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* (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 -1/2 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 (*.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 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 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))))) (*.f32 (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 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(/ 1 (pow maxCos 2))
(/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))
(+ (* ux (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) (/ 1 (pow maxCos 2)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(+ (* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))) (* 2 (/ 1 (pow maxCos 2))))) (/ 1 (pow maxCos 2)))
(fma.f32 (-.f32 (fma.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux (/.f32 #s(literal 2 binary32) maxCos)) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(/ -1 maxCos)
(/.f32 #s(literal -1 binary32) maxCos)
(- (* ux (- (/ 1 maxCos) 2)) (/ 1 maxCos))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (/.f32 #s(literal -1 binary32) maxCos))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2)))))))
(fma.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) #s(literal 1 binary32))
(+ 1 (* ux (+ (* (pow maxCos 2) (* ux (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))))))
(fma.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (fma.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux (/.f32 #s(literal 2 binary32) maxCos)) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.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))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (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) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))))) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (pow ux 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos))))
(*.f32 (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (- (+ 1 (/ 2 (* maxCos ux))) (+ (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) (/ 2 (* (pow maxCos 2) ux)))))
(*.f32 (+.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (/ 2 (* maxCos ux)))) (+ (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) (/ 2 (* (pow maxCos 2) ux)))))
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)) #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (*.f32 ux ux))
(* ux (- (/ 1 maxCos) 2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)
(* ux (- (/ 1 maxCos) (+ 2 (/ 1 (* maxCos ux)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow maxCos 2) (* (pow ux 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))))
(*.f32 (*.f32 (*.f32 (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux) ux) maxCos) maxCos)
(* (pow ux 2) (+ (* (pow maxCos 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)))
(*.f32 (*.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (+ (* (pow maxCos 2) (- 1 (* -1 (/ (- (/ 1 maxCos) 2) maxCos)))) (+ (/ 1 (pow ux 2)) (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux))))
(*.f32 (fma.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (*.f32 ux ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (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)))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux) ux (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) (neg.f32 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(*.f32 (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (- (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))) ux)) (/ 1 (pow maxCos 2)))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (pow maxCos 2))) (+ (* 2 (/ 1 maxCos)) (/ 1 (* (pow maxCos 2) ux)))) ux)) (/ 1 (pow maxCos 2)))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 2 binary32) maxCos)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux)) ux)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (*.f32 ux ux))
(* -1 (* ux (- 2 (/ 1 maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)
(* -1 (* ux (- (+ 2 (/ 1 (* maxCos ux))) (/ 1 maxCos))))
(fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos))
(* (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 (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) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow maxCos 2) (* (pow ux 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(*.f32 (*.f32 (*.f32 (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux) ux) maxCos) maxCos)
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)) (* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(*.f32 (fma.f32 (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) maxCos) maxCos (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 2 binary32) maxCos)) ux))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) (/ 1 ux)) ux)) (* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(*.f32 (fma.f32 (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) maxCos) maxCos (/.f32 (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos) (/.f32 #s(literal -1 binary32) ux)) (neg.f32 ux))) (*.f32 ux ux))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* 2 (* uy (sqrt (PI))))
(*.f32 (*.f32 (sqrt.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 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))
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 maxCos ux) 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 maxCos ux)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (*.f32 (-.f32 ux #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 (*.f32 (-.f32 ux #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))))
(* -1 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))
(*.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (-.f32 ux #s(literal 1 binary32)))
(/ (- (* 2 (* maxCos (* ux (- 1 ux)))) (* (- 1 ux) (- ux 1))) (pow maxCos 2))
(/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos)) (*.f32 maxCos maxCos))
(/ (- (* maxCos (- (* maxCos (pow ux 2)) (* -2 (* ux (- 1 ux))))) (* (- 1 ux) (- ux 1))) (pow maxCos 2))
(/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos)) (*.f32 maxCos maxCos))
(/ (- ux 1) maxCos)
(/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)
(/ (- (+ ux (* -2 (* maxCos ux))) 1) maxCos)
(/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32)) ux #s(literal -1 binary32)) maxCos)
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (* (- 1 ux) (- ux 1)))
(*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))
(+ (* -1 (* (- 1 ux) (- ux 1))) (* 2 (* maxCos (* ux (- 1 ux)))))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos))
(+ (* -1 (* (- 1 ux) (- ux 1))) (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* 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 (-.f32 ux #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.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 ux #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux))
(- (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2))) (pow ux 2)) (* -2 (/ (* ux (- 1 ux)) maxCos)))
(-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos)) maxCos))
(* -2 ux)
(*.f32 #s(literal -2 binary32) ux)
(- (+ (* -2 ux) (/ ux maxCos)) (/ 1 maxCos))
(fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)
(* (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 ux #s(literal 1 binary32)) ux) (/.f32 #s(literal -2 binary32) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (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)) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.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 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos ux) ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ (* -1 (/ (- (* -1 (/ (pow (- 1 ux) 2) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))
(fma.f32 ux ux (/.f32 (-.f32 (/.f32 (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))
(+ (* -2 ux) (* -1 (/ (- 1 ux) maxCos)))
(fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) 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 (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 maxCos maxCos))

rewrite382.0ms (3.5%)

Memory
-56.9MiB live, 414.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068469
0117403
1385387
23115379
09770361
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 102
Calls
Call 1
Inputs
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos))
(-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))
(*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
Outputs
(*.f32 (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))) ux)
(*.f32 ux (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux (neg.f32 ux))
(fma.f32 ux (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(fma.f32 ux (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))
(+.f32 (*.f32 ux (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))
(+.f32 (*.f32 ux (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))))
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(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (neg.f32 ux)) (*.f32 ux ux))))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)) ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(pow.f32 (exp.f32 (log1p.f32 (fma.f32 maxCos ux (neg.f32 ux)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(+.f32 (*.f32 (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(exp.f32 (*.f32 (log1p.f32 (fma.f32 maxCos ux (neg.f32 ux))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.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 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos) maxCos)
(*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))
(*.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (*.f32 maxCos maxCos))
(*.f32 maxCos (*.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (/.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) #s(literal -2 binary32))) (*.f32 maxCos maxCos)) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux)))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (/.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) #s(literal -3 binary32))) (*.f32 maxCos maxCos)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux)) (pow.f32 ux #s(literal 4 binary32))))
(/.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (/.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) #s(literal -2 binary32)))) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux)))
(/.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (/.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) #s(literal -3 binary32)))) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux)) (pow.f32 ux #s(literal 4 binary32))))
(fma.f32 (pow.f32 (*.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (pow.f32 (*.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 (*.f32 (*.f32 maxCos ux) maxCos) ux (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (*.f32 (*.f32 maxCos ux) maxCos) ux (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 (*.f32 maxCos maxCos) (*.f32 ux ux) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (*.f32 maxCos maxCos) (*.f32 ux ux) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 (*.f32 ux ux) (*.f32 maxCos maxCos) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (*.f32 ux ux) (*.f32 maxCos maxCos) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 (*.f32 maxCos ux) (*.f32 maxCos ux) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 (*.f32 maxCos ux) (*.f32 maxCos ux) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 maxCos (*.f32 ux (*.f32 maxCos ux)) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 maxCos (*.f32 ux (*.f32 maxCos ux)) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 ux (*.f32 maxCos (*.f32 maxCos ux)) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 ux (*.f32 maxCos (*.f32 maxCos ux)) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(fma.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(fma.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)) (*.f32 maxCos maxCos)))
(+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32))))
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(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 3 binary32)) (fma.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))))
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
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(+.f32 (neg.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) uy) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (PI.f32) #s(literal 5/6 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 uy (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.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 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 5/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) uy))
(*.f32 #s(literal 2 binary32) (*.f32 uy (sqrt.f32 (PI.f32))))
(*.f32 uy (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))

eval381.0ms (3.5%)

Memory
12.8MiB live, 487.6MiB allocated
Compiler

Compiled 107 726 to 6 361 computations (94.1% saved)

prune84.0ms (0.8%)

Memory
24.4MiB live, 181.6MiB allocated
Pruning

49 alts after pruning (49 fresh and 0 done)

PrunedKeptTotal
New1 576301 606
Fresh161935
Picked505
Done000
Total1 597491 646
Accuracy
97.7%
Counts
1 646 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
58.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
28.3%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
58.5%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (PI.f32) #s(literal 5/6 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
58.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
59.5%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
17.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
24.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
24.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
25.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))))
25.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
28.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32)))))
34.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
20.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
19.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
21.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
58.3%
(*.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) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
20.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
58.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
28.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 ux maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))))))))
47.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
22.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (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)))))
22.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
30.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
20.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
29.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.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))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
20.1%
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
26.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
52.3%
(*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
25.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
5.2%
#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))
29.8%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Compiler

Compiled 3 760 to 2 324 computations (38.2% saved)

simplify155.0ms (1.4%)

Memory
-0.5MiB live, 153.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
cost-diff64
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-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) (*.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-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff512
(-.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
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff416
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff800
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070996
0125943
1257943
2534872
32371872
45915872
08297853
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (PI.f32))
(PI.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(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#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) (*.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 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(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) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) uy)
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.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)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(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 ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(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 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(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
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 maxCos #s(literal 1 binary32))
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))

localize283.0ms (2.6%)

Memory
-1.3MiB live, 247.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.38671875
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy0.4069137695368841
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
accuracy12.141935670373263
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
accuracy22.082292497841298
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0.34375
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.3522262695368841
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.34375
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
accuracy0.4490810543285116
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy5.593166086416355
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.028083529915879
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.4490810543285116
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy5.593166086416355
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
accuracy0.34375
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy0.3522262695368841
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
Samples
160.0ms251×0valid
4.0ms1valid
Compiler

Compiled 1 828 to 128 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult: 80.0ms (57.8% of total)
ival-add: 24.0ms (17.3% of total)
ival-sub: 9.0ms (6.5% of total)
ival-sqrt: 7.0ms (5.1% of total)
ival-sin: 6.0ms (4.3% of total)
ival-sinu: 4.0ms (2.9% of total)
ival-div: 3.0ms (2.2% of total)
ival-pow2: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)
ival-pi: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series80.0ms (0.7%)

Memory
-17.4MiB live, 139.1MiB allocated
Counts
27 → 209
Calls
Call 1
Inputs
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(-.f32 (-.f32 #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 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(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) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- (+ 2 (* -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)))))))))
2
(+ 2 (* ux (- maxCos (+ 1 (* -1 (- maxCos 1))))))
(+ 2 (* ux (- (+ maxCos (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) (+ 1 (* -1 (- maxCos 1))))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* -1/4 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))))) (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (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 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (pow (- maxCos 1) 4)) (+ (* -1/2 (* (- 1 maxCos) (* (- maxCos 1) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))) (+ (* 1/4 (/ (pow (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1))))))) 2) (* ux (* (pow (sqrt 1/2) 2) (- 4 (* 4 maxCos)))))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* -1/4 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1))))))))))))))))) (sqrt 1/2)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 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 (* 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)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -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)))))))))
(* -1 (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (- (/ maxCos ux) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux)))))
(* (pow ux 2) (- (+ (/ 2 (pow ux 2)) (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux)))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3))))))) (pow ux 2)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos)))))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (- 4 (* 4 maxCos)) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1))))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/2 (/ (* (- 1 maxCos) (* (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3)))))))) (pow (- maxCos 1) 3))))))) (pow ux 3)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3))))))) (pow ux 2)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))))))
(* (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 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)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 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)))))))
(* -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)) (* -1 (pow (+ 1 (* -1 maxCos)) 2))))
(* (pow ux 2) (- (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (/ 2 (pow ux 2))) (* -1 (pow (+ 1 (* -1 maxCos)) 2))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 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)))))))
(* (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 (* (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)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 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 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(- 1 (* (- 1 ux) (- ux 1)))
(- (+ 1 (* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))))) (* (- 1 ux) (- ux 1)))
(- (+ 1 (* maxCos (- (* maxCos (pow ux 2)) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))))) (* (- 1 ux) (- ux 1)))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1))))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(+ (* 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 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/2 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (* (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))))) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 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 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- 1 (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))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (- (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (+ (* -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)))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 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 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -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 (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (pow (- 1 ux) 3) ux)) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2)))))) (pow ux 2))) (+ (* 1/2 (/ (* (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 (* (- 1 ux) (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (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 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -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)))))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (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))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (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))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- ux 1)) maxCos)) (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* (- 1 ux) (- ux 1))) maxCos)) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (+ (* -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 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -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)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* 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)) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* 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 (* (- 1 ux) (- ux 1)))) (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2)))))) (pow ux 2))) (+ (* 1/2 (/ (* (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 (* (- 1 ux) (- ux 1))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* 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))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -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)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* 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)))
(* (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)))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
ux
@-inf
((* (* (* (sqrt (PI)) 2) uy) (sqrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- (- 1 (* (+ (* 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)))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ 1 (* (- maxCos 1) ux)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos)))) (neg (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* (* (sqrt (PI)) 2) uy) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))))
10.0ms
ux
@0
((* (* (* (sqrt (PI)) 2) uy) (sqrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- (- 1 (* (+ (* 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)))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ 1 (* (- maxCos 1) ux)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos)))) (neg (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* (* (sqrt (PI)) 2) uy) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))))
8.0ms
ux
@inf
((* (* (* (sqrt (PI)) 2) uy) (sqrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- (- 1 (* (+ (* 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)))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ 1 (* (- maxCos 1) ux)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos)))) (neg (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* (* (sqrt (PI)) 2) uy) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))))
7.0ms
maxCos
@-inf
((* (* (* (sqrt (PI)) 2) uy) (sqrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- (- 1 (* (+ (* 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)))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ 1 (* (- maxCos 1) ux)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos)))) (neg (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* (* (sqrt (PI)) 2) uy) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))))
7.0ms
maxCos
@0
((* (* (* (sqrt (PI)) 2) uy) (sqrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- (- 1 (* (+ (* 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)))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ 1 (* (- maxCos 1) ux)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos)))) (neg (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* (* (sqrt (PI)) 2) uy) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))))

simplify191.0ms (1.8%)

Memory
18.5MiB live, 334.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133710873
1453810360
093049770
Stop Event
iter limit
node limit
Counts
209 → 209
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- (+ 2 (* -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)))))))))
2
(+ 2 (* ux (- maxCos (+ 1 (* -1 (- maxCos 1))))))
(+ 2 (* ux (- (+ maxCos (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) (+ 1 (* -1 (- maxCos 1))))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* -1/4 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))))) (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (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 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (pow (- maxCos 1) 4)) (+ (* -1/2 (* (- 1 maxCos) (* (- maxCos 1) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))) (+ (* 1/4 (/ (pow (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1))))))) 2) (* ux (* (pow (sqrt 1/2) 2) (- 4 (* 4 maxCos)))))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* -1/4 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1))))))))))))))))) (sqrt 1/2)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 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 (* 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)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -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)))))))))
(* -1 (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (- (/ maxCos ux) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux)))))
(* (pow ux 2) (- (+ (/ 2 (pow ux 2)) (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux)))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3))))))) (pow ux 2)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos)))))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (- 4 (* 4 maxCos)) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1))))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/2 (/ (* (- 1 maxCos) (* (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3)))))))) (pow (- maxCos 1) 3))))))) (pow ux 3)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3))))))) (pow ux 2)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))))))
(* (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 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)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 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)))))))
(* -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)) (* -1 (pow (+ 1 (* -1 maxCos)) 2))))
(* (pow ux 2) (- (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (/ 2 (pow ux 2))) (* -1 (pow (+ 1 (* -1 maxCos)) 2))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 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)))))))
(* (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 (* (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)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 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 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(- 1 (* (- 1 ux) (- ux 1)))
(- (+ 1 (* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))))) (* (- 1 ux) (- ux 1)))
(- (+ 1 (* maxCos (- (* maxCos (pow ux 2)) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))))) (* (- 1 ux) (- ux 1)))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1))))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(+ (* 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 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/2 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (* (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))))) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 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 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- 1 (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))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (- (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (+ (* -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)))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 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 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -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 (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (pow (- 1 ux) 3) ux)) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2)))))) (pow ux 2))) (+ (* 1/2 (/ (* (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 (* (- 1 ux) (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (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 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -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)))))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (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))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (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))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- ux 1)) maxCos)) (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* (- 1 ux) (- ux 1))) maxCos)) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (+ (* -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 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -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)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* 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)) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* 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 (* (- 1 ux) (- ux 1)))) (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2)))))) (pow ux 2))) (+ (* 1/2 (/ (* (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 (* (- 1 ux) (- ux 1))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* 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))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -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)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* 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)))
(* (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)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 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 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 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 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (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)))) (+ (* -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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -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))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 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))))
2
#s(literal 2 binary32)
(+ 2 (* ux (- maxCos (+ 1 (* -1 (- maxCos 1))))))
(fma.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) ux #s(literal 2 binary32))
(+ 2 (* ux (- (+ maxCos (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) (+ 1 (* -1 (- maxCos 1))))))
(fma.f32 (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) ux #s(literal 2 binary32))
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(* (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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (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 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* -1/4 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))))) (sqrt 1/2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (neg.f32 (fma.f32 (fma.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 #s(literal 1/2 binary32) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos #s(literal 1 binary32))))))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 ux (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 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)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))) (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 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))))) (sqrt 1/2)))) (* 1/2 (* (sqrt (/ ux (- 4 (* 4 maxCos)))) (/ (* (sin (* 2 (* uy (PI)))) (- (* -1/2 (pow (- maxCos 1) 4)) (+ (* -1/2 (* (- 1 maxCos) (* (- maxCos 1) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1)))))))))) (+ (* 1/4 (/ (pow (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1))))))) 2) (* ux (* (pow (sqrt 1/2) 2) (- 4 (* 4 maxCos)))))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1 (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2))) (+ (* -1/4 (* (- 1 maxCos) (* (- 4 (* 4 maxCos)) (- maxCos 1)))) (* 1/2 (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* -1/2 (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))) (* 1/4 (* (- 4 (* 4 maxCos)) (- maxCos (+ 1 (* -1 (- maxCos 1))))))))))))))))) (sqrt 1/2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (neg.f32 (fma.f32 (fma.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 #s(literal 1/2 binary32) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos #s(literal 1 binary32))))))) (sqrt.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 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 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 1/2 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))))))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (neg.f32 (fma.f32 (fma.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 #s(literal 1/2 binary32) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))))) (*.f32 (*.f32 #s(literal -1/4 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos #s(literal 1 binary32))))))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 ux #s(literal 1/2 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 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))))) #s(literal 2 binary32)) (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)))))) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 ux (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 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 (fma.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 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 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))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* 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 (-.f32 #s(literal 4 binary32) (*.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.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 (- (* -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 (fma.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 (fma.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 (fma.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) ux (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))) ux (neg.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.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 (* ux (- (* 4 maxCos) 4)))
(fma.f32 (fma.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 (fma.f32 #s(literal 4 binary32) maxCos (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 2 binary32))) ux #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 (fma.f32 #s(literal 4 binary32) maxCos (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 2 binary32)))) ux #s(literal -4 binary32))) ux #s(literal 1 binary32))
(* 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)
(* -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 (* (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) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (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) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.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) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* -1 (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos))
(* (pow ux 2) (- (/ maxCos ux) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 maxCos ux) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (/ 2 (pow ux 2)) (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux)))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (-.f32 (/.f32 maxCos ux) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (*.f32 ux ux))
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.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 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) ux)
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3))))))) (pow ux 2)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (fma.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32) (/.f32 (*.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (-.f32 maxCos (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (- 4 (* 4 maxCos)) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1))))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/2 (/ (* (- 1 maxCos) (* (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3)))))))) (pow (- maxCos 1) 3))))))) (pow ux 3)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) ux) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* 2 (/ (- maxCos 1) (- 1 maxCos))) (/ (pow (- (* 2 maxCos) 2) 2) (* (- 1 maxCos) (- maxCos 1)))) (+ (* -2 (/ (pow (- maxCos 1) 2) (pow (- 1 maxCos) 2))) (+ (* -1 (/ (* (- maxCos (+ 1 (* -1 (- maxCos 1)))) (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2))))) (* (- 1 maxCos) (- maxCos 1)))) (* 1/4 (/ (* (- 1 maxCos) (pow (- (* 2 (/ (* (- maxCos 1) (- (* 2 maxCos) 2)) (- 1 maxCos))) (* -1 (/ (* (pow (- maxCos 1) 2) (- maxCos (+ 1 (* -1 (- maxCos 1))))) (pow (- 1 maxCos) 2)))) 2)) (pow (- maxCos 1) 3))))))) (pow ux 2)) (sqrt (/ (- 1 maxCos) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (pow (- maxCos 1) 3) (- 1 maxCos))))))))
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(* (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)))))))
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(* (pow ux 4) (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)))))
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(* (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)))))
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(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* (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)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) #s(literal 2 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (neg.f32 ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (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)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) (/.f32 maxCos ux) (/.f32 #s(literal 4 binary32) ux)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 ux)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (neg.f32 ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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)))
(*.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (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)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) ux)) ux)) (pow.f32 ux #s(literal 4 binary32)))
(* (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)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (/.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -4 binary32) maxCos #s(literal 4 binary32)) ux)) ux)) ux)) (pow.f32 ux #s(literal 4 binary32)))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(* 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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (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 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) 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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (pow.f32 (PI.f32) #s(literal 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) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) 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 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (PI.f32) #s(literal 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 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (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 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* 2 (* (* uy (PI)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos 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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (*.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 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))) uy)
(* 2 (* uy (sqrt (PI))))
(*.f32 (*.f32 (sqrt.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 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 4)) (- 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(- 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 ux #s(literal 1 binary32)) 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 (* (- 1 ux) (- ux 1)))
(+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))))) (* (- 1 ux) (- ux 1)))
(+.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* maxCos (pow ux 2)) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))))) (* (- 1 ux) (- ux 1)))
(+.f32 (fma.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- ux 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1))))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (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 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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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 #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 (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(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 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal -6 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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) (/.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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32))))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (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 4 binary32))))) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (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 4 binary32))))) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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 #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 (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (* (pow ux 3) (- 1 ux)) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/2 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (* (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))))) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 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 (* (- 1 ux) (- ux 1))))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2))))) (- 1 (* (- 1 ux) (- ux 1))))) (+ (* 1/4 (/ (* (- 1 (* (- 1 ux) (- ux 1))) (pow (- (* -4 (/ (* ux (pow (- 1 ux) 3)) (- 1 (* (- 1 ux) (- ux 1))))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))) 2)) (- 1 (pow (- 1 ux) 4)))) (/ (* (pow ux 2) (- 1 (pow (- 1 ux) 4))) (pow (- 1 (* (- 1 ux) (- ux 1))) 2)))))) (sqrt (/ (- 1 (* (- 1 ux) (- ux 1))) (- 1 (pow (- 1 ux) 4)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (- 1 (pow (- 1 ux) 4)) (- 1 (* (- 1 ux) (- ux 1)))))))
(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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal -6 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (*.f32 ux ux)) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32))))) (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal -6 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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) (/.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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #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 1/2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (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 4 binary32))))) (*.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal -6 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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) (/.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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.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 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 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -4 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.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 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 #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)))))
(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 ux #s(literal 1 binary32)) 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 (- 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 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal -6 binary32)) maxCos (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal -4 binary32))) 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 (fma.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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal -4 binary32))) 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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 6 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)))
(+ (* 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)) (*.f32 #s(literal 4 binary32) (fma.f32 (*.f32 maxCos (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)) (*.f32 ux ux))))) 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)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (- (+ ux (/ 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 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #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)
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos)
(* 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)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (+.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (-.f32 (fma.f32 ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos maxCos))) (*.f32 ux ux)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.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))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 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 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (-.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)) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 ux ux)))) (+.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)))) (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))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -4 (/ (pow (- 1 ux) 3) ux)) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2)))))) (pow ux 2))) (+ (* 1/2 (/ (* (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 (* (- 1 ux) (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (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 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (pow ux 2))) (* 1/4 (/ (pow (- (* -4 (* ux (- 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #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 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (-.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)) (-.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 ux ux)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.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)) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) ux) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (+.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 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (-.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)) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 ux ux)))) (+.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)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 4) (pow ux 4)))
(*.f32 (neg.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) (neg.f32 (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 (neg.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) (- (* -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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal -4 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (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 (*.f32 #s(literal 4 binary32) (*.f32 ux ux)) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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 #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 (*.f32 #s(literal 4 binary32) (*.f32 ux ux)) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal 4 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 ux ux)) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (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) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (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)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- ux 1)) maxCos)) (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* (- 1 ux) (- ux 1))) maxCos)) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.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) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) maxCos) #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -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)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal -6 binary32)) (*.f32 ux ux)) (-.f32 (fma.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (*.f32 ux ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) #s(literal 2 binary32)) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 4 (/ (pow (- 1 ux) 3) ux)) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* 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 (* (- 1 ux) (- ux 1)))) (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2)))))) (pow ux 2))) (+ (* 1/2 (/ (* (- (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) (pow ux 2))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 (* (- 1 ux) (- ux 1))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* 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))) (+ (* -1 (- 1 (* (- 1 ux) (- ux 1)))) (+ (* -1 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (pow ux 2))) (* 1/4 (/ (pow (- (* 4 (* ux (- 1 ux))) (+ (* -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)))) (- (* 4 (* ux (- 1 ux))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos 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 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (/.f32 (-.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)) (-.f32 (*.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 ux ux)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.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)) (-.f32 (fma.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (*.f32 ux ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) #s(literal 2 binary32)) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) ux) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) ux) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) ux))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.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)) (-.f32 (fma.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (*.f32 ux ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 4 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) #s(literal 2 binary32)) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 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 (/.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 (*.f32 #s(literal -4 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 ux #s(literal 1 binary32)))) (neg.f32 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 (/.f32 (-.f32 (/.f32 (fma.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))) (neg.f32 maxCos)) (*.f32 (*.f32 #s(literal -4 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 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 (-.f32 (pow.f32 ux #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux) (/.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 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 (-.f32 (pow.f32 ux #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux) (/.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))) (neg.f32 maxCos))) maxCos)) (pow.f32 maxCos #s(literal 4 binary32)))

rewrite376.0ms (3.5%)

Memory
-19.1MiB live, 380.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070539
0125496
1454432
23337420
011143406
Stop Event
iter limit
node limit
iter limit
Counts
27 → 1 243
Calls
Call 1
Inputs
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(-.f32 (-.f32 #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 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(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) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
Outputs
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 uy (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 uy (sqrt.f32 (PI.f32)))))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) uy))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) uy))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(*.f32 (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))) ux)
(*.f32 ux (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux (neg.f32 ux))
(fma.f32 ux (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux #s(literal -1 binary32)))
(fma.f32 ux (/.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))
(+.f32 (*.f32 ux (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))) (*.f32 ux #s(literal -1 binary32)))
(+.f32 (*.f32 ux (/.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(*.f32 (pow.f32 (/.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32)) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) #s(literal 1 binary32))))
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(*.f32 (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))) ux)
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(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) 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 (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 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 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 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 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))
(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux))))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))))
(fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) maxCos) ux (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) ux) maxCos (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (*.f32 maxCos ux) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
(fma.f32 maxCos (*.f32 ux #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 maxCos #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(pow.f32 (sqrt.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(exp.f32 (log.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(neg.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))))

eval282.0ms (2.6%)

Memory
20.1MiB live, 410.1MiB allocated
Compiler

Compiled 99 157 to 7 618 computations (92.3% saved)

prune148.0ms (1.4%)

Memory
6.2MiB live, 166.8MiB allocated
Pruning

53 alts after pruning (51 fresh and 2 done)

PrunedKeptTotal
New1 322241 346
Fresh172744
Picked325
Done000
Total1 342531 395
Accuracy
99.0%
Counts
1 395 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
58.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.5%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
30.1%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
97.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
25.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))))
24.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ 1 (* (- maxCos 1) ux)) (-.f32 #s(literal 1 binary32) ux))))))))
28.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32)))))
14.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
19.7%
(*.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))))
20.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
58.3%
(*.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) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
19.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
58.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))))))))
48.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
23.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
22.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (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)))))
20.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
29.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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))))
81.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
65.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
52.3%
(*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
25.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.1%
(*.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 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
77.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
77.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos maxCos))) (*.f32 ux ux)))))
81.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
51.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))))
30.7%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (*.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))))
31.2%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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))))
Compiler

Compiled 4 394 to 2 701 computations (38.5% saved)

simplify231.0ms (2.1%)

Memory
20.1MiB live, 208.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff416
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff800
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff0
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
cost-diff64
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
cost-diff384
(fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff0
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
cost-diff64
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos))
cost-diff800
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065869
0113823
1228819
2544763
31783763
45580763
57607763
08323749
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (PI.f32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos))
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
ux
(*.f32 #s(literal 2 binary32) maxCos)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
#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) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
#s(literal 1 binary32)
(fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (PI.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 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
maxCos
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(*.f32 (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))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (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 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos))
(fma.f32 #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 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
ux
(*.f32 #s(literal 2 binary32) maxCos)
(*.f32 maxCos #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) ux)
(neg.f32 ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.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 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
maxCos

localize181.0ms (1.7%)

Memory
-14.4MiB live, 316.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3522262695368841
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
accuracy0.38671875
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy0.4490810543285116
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
accuracy0.38671875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.4490810543285116
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
accuracy0.4490810543285116
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy5.593166086416355
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
accuracy30.893276561641997
(fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy0.38671875
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.4490810543285116
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy5.593166086416355
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.00580944120512
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
accuracy0.1425463011575378
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
accuracy0.34375
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
accuracy0.34375
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
accuracy0.3522262695368841
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
Samples
126.0ms248×0valid
9.0ms1valid
Compiler

Compiled 1 561 to 114 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 34.0ms (32.3% of total)
ival-sinu: 31.0ms (29.5% of total)
ival-sub: 13.0ms (12.4% of total)
ival-add: 9.0ms (8.6% of total)
ival-sqrt: 5.0ms (4.8% of total)
ival-pow2: 3.0ms (2.9% of total)
ival-pi: 3.0ms (2.9% of total)
ival-sin: 3.0ms (2.9% of total)
ival-div: 2.0ms (1.9% of total)
adjust: 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)

series36.0ms (0.3%)

Memory
-26.1MiB live, 51.3MiB allocated
Counts
26 → 155
Calls
Call 1
Inputs
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#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 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
Outputs
(- 2 (* 2 maxCos))
(- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* -1 ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(+ (* -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 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 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)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (- (* -1 (/ (- 2 (* 2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (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 (- (* -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)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 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 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 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 (* -1 (* ux (- 1 ux)))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(* -1 (* ux (- 1 ux)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(- 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)
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* -1 (* maxCos (pow ux 2)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* (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 (/ (- 2 (* 2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

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

simplify161.0ms (1.5%)

Memory
4.4MiB live, 283.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08425366
128644836
083014622
Stop Event
iter limit
node limit
Counts
155 → 155
Calls
Call 1
Inputs
(- 2 (* 2 maxCos))
(- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* -1 ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(+ (* -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 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 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)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (- (* -1 (/ (- 2 (* 2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (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 (- (* -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)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 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 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 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 (* -1 (* ux (- 1 ux)))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(* -1 (* ux (- 1 ux)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(- 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)
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* -1 (* maxCos (pow ux 2)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* (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 (/ (- 2 (* 2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(- 2 (* 2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))
(fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(+ (* -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))) (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* -1 (* ux (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (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 (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 5 binary32)))) (pow.f32 ux #s(literal 3 binary32)))) #s(literal 1/16 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* -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) (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 (/.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 (* ux (- (* -1 (/ (- 2 (* 2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (*.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))) ux)) ux)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (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))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 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 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #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)))))))))))
(*.f32 (neg.f32 ux) (-.f32 (*.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))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/8 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) ux)))
(* -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)))))))))))
(*.f32 (neg.f32 ux) (-.f32 (*.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))))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 (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 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 3 binary32)))))) ux)) ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #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)))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 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 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 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)))))))))))
(*.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)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 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 (+ (* -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 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.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)))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(*.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)))) (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 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)
(* 2 (* uy (sqrt (PI))))
(*.f32 (*.f32 (sqrt.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))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(*.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))))
(- 2 ux)
(-.f32 #s(literal 2 binary32) ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(fma.f32 (neg.f32 (fma.f32 ux maxCos (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) maxCos (-.f32 #s(literal 2 binary32) ux))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 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)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- (+ 1 (* -1 (* ux (- 1 ux)))) ux)
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) ux)
(-.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* -1 (pow ux 2)) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))))))) ux)
(-.f32 (fma.f32 (fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux ux)) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(- ux (* -1 (* ux (- 1 ux))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* ux (- 1 ux)))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 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 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(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) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 #s(literal 2 binary32) 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 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(*.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))) (/ ux (pow maxCos 2))))
(*.f32 (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos))) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 ux ux))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux maxCos)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) ux) ux))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) maxCos)
(* (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 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 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)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))) maxCos)
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux maxCos)) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) maxCos)))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))) maxCos)) (neg.f32 maxCos))) (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))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))

rewrite240.0ms (2.2%)

Memory
21.7MiB live, 256.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065488
0113424
1427382
23589374
08943372
Stop Event
iter limit
node limit
iter limit
Counts
26 → 615
Calls
Call 1
Inputs
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#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 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
Outputs
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 uy (sqrt.f32 (PI.f32))))
(*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 uy (sqrt.f32 (PI.f32)))))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) uy))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
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(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32))) (fma.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (pow.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32))))
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(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux)))) (/.f32 (pow.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) #s(literal 2 binary32)) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux)))))
(-.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux))
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(fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (*.f32 (neg.f32 ux) maxCos) ux (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (*.f32 ux maxCos) (neg.f32 ux) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos #s(literal 1 binary32)) (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) (*.f32 ux maxCos) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (*.f32 ux maxCos) (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 ux maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (neg.f32 ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 ux maxCos #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 ux (*.f32 maxCos (neg.f32 ux)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 ux (*.f32 maxCos (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 ux (*.f32 maxCos (fma.f32 ux maxCos #s(literal 1 binary32))) (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 ux (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 maxCos (*.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 maxCos (*.f32 ux (neg.f32 ux)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(pow.f32 (exp.f32 (log1p.f32 (-.f32 (*.f32 ux maxCos) ux))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))) (*.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (pow.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))
(+.f32 (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 (*.f32 (neg.f32 ux) maxCos) ux)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (fma.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 ux maxCos (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(+.f32 (fma.f32 ux maxCos (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(+.f32 (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(+.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) ux) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(+.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(+.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(exp.f32 (*.f32 (log1p.f32 (-.f32 (*.f32 ux maxCos) ux)) #s(literal 2 binary32)))
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(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(*.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(*.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))

eval92.0ms (0.8%)

Memory
21.9MiB live, 175.3MiB allocated
Compiler

Compiled 37 935 to 3 791 computations (90% saved)

prune80.0ms (0.7%)

Memory
-37.2MiB live, 124.1MiB allocated
Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New70219721
Fresh182846
Picked325
Done112
Total72450774
Accuracy
99.6%
Counts
774 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
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 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
58.8%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
2.4%
(*.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 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux))) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
97.5%
(*.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)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
58.5%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
7.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos #s(literal 2 binary32))) #s(literal 2 binary32))) (+.f32 #s(literal 2 binary32) (fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos #s(literal 2 binary32))))) ux))))
85.7%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* 2 maxCos)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
91.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* 2 maxCos)) (-.f32 #s(literal 2 binary32) ux)) ux))))
22.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* 2 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))) ux)) ux))))
97.6%
(*.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)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
58.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
98.5%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
25.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ 1 (* (- maxCos 1) ux)) (-.f32 #s(literal 1 binary32) ux))))))))
28.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))) #s(literal 1 binary32)))))
58.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
57.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
24.3%
(*.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 (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)))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
50.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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))))
81.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
65.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
52.3%
(*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
25.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.1%
(*.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 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
26.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
20.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
51.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
77.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
77.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos maxCos))) (*.f32 ux ux)))))
81.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
77.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
51.1%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))))
32.3%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (*.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))))
92.5%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
31.4%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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))))
Compiler

Compiled 7 062 to 2 099 computations (70.3% saved)

regimes363.0ms (3.3%)

Memory
41.6MiB live, 513.2MiB allocated
Counts
114 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
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(*.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)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
Calls

11 calls:

49.0ms
(*.f32 uy #s(literal 2 binary32))
38.0ms
ux
32.0ms
maxCos
31.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
30.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
98.5%1ux
98.5%1uy
98.5%1maxCos
98.5%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
98.5%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.5%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.5%1(*.f32 uy #s(literal 2 binary32))
98.5%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
98.5%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
98.5%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes306.0ms (2.8%)

Memory
-5.5MiB live, 395.8MiB allocated
Counts
81 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) 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) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #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 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (*.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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* 2 maxCos)) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* 2 maxCos)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (/ (- 1 (pow (* (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux))) 2)) (- 1 (* (neg (+ (* maxCos ux) (- 1 ux))) (+ (- 1 ux) (* ux maxCos))))))) (*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 ux maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.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 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux))) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
Calls

11 calls:

44.0ms
(*.f32 uy #s(literal 2 binary32))
37.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
37.0ms
ux
26.0ms
maxCos
24.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Results
AccuracySegmentsBranch
92.5%1ux
96.1%2uy
92.5%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))))))
96.1%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
96.1%2(*.f32 uy #s(literal 2 binary32))
92.5%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)))))
92.5%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))))
92.5%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
92.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
96.0%2maxCos
92.5%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes58.0ms (0.5%)

Memory
2.3MiB live, 115.6MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 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 (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) 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) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #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 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (* ux ux) (/ (* (- 1 ux) (- (* -2 ux) (/ (- 1 ux) maxCos))) maxCos)) (* maxCos maxCos)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
Calls

4 calls:

15.0ms
(*.f32 uy #s(literal 2 binary32))
14.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
14.0ms
maxCos
13.0ms
uy
Results
AccuracySegmentsBranch
92.5%1maxCos
95.7%2uy
95.7%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
95.7%2(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes127.0ms (1.2%)

Memory
-8.5MiB live, 229.1MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) 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) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

11 calls:

16.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
14.0ms
(*.f32 uy #s(literal 2 binary32))
12.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
12.0ms
uy
11.0ms
maxCos
Results
AccuracySegmentsBranch
81.2%1maxCos
81.2%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
81.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
81.2%1ux
81.2%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
81.2%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
81.2%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
81.2%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
85.3%2uy
85.3%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
85.3%2(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes64.0ms (0.6%)

Memory
13.5MiB live, 130.3MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) 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) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos)) (*.f32 maxCos maxCos))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Calls

6 calls:

13.0ms
ux
11.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
10.0ms
(-.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))))
10.0ms
(*.f32 uy #s(literal 2 binary32))
10.0ms
uy
Results
AccuracySegmentsBranch
81.2%1ux
81.2%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
81.2%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
81.2%1uy
81.2%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
81.2%1(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 45 to 37 computations (17.8% saved)

regimes159.0ms (1.5%)

Memory
-18.7MiB live, 263.3MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) 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) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
Calls

11 calls:

36.0ms
uy
30.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
15.0ms
(*.f32 uy #s(literal 2 binary32))
11.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
10.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
77.6%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
77.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.6%1uy
77.6%1maxCos
77.6%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
77.6%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
77.6%1(*.f32 uy #s(literal 2 binary32))
77.6%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
77.6%1ux
77.6%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
77.6%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes149.0ms (1.4%)

Memory
14.4MiB live, 172.9MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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 ux #s(literal -1 binary32) (fma.f32 maxCos ux #s(literal 1 binary32))) (+.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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.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 #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) 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) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
Calls

11 calls:

32.0ms
maxCos
25.0ms
ux
16.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
14.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
9.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Results
AccuracySegmentsBranch
77.6%1uy
77.6%1maxCos
77.6%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
77.6%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
77.6%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
77.6%1(*.f32 uy #s(literal 2 binary32))
77.6%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
77.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.6%1ux
77.6%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
77.6%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes33.0ms (0.3%)

Memory
-10.6MiB live, 30.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

11 calls:

21.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
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
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
7.1%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))))))
7.1%1uy
7.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
7.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
7.1%1(*.f32 uy #s(literal 2 binary32))
7.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
7.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
7.1%1ux
7.1%1maxCos
7.1%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)))))
7.1%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))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0006294588674791157
0.0006999319884926081
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0006294588674791157
0.0006999319884926081
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03578411042690277
0.04400354623794556
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify85.0ms (0.8%)

Memory
-5.5MiB live, 72.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100568
1155568
2215568
3280568
4369568
5509568
6588568
7671568
8743568
9820568
10943568
111050568
121146568
131197568
141210568
151211568
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 11166915/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 11166915/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 5368709/134217728 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 maxCos #s(literal 2 binary32))) ux))) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 11166915/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 11166915/17179869184 binary32)) (*.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) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 maxCos #s(literal 2 binary32))) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 11166915/17179869184 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 11166915/17179869184 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (sin.f32 (*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 5368709/134217728 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 5368709/134217728 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
(*.f32 (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) (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux))) (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))

soundness1.1s (9.8%)

Memory
31.7MiB live, 526.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603092
118222897
266582870
083272741
068469
0117403
1385387
23115379
09770361
0133710873
1453810360
093049770
04192267
113692135
252531979
082391886
08425366
128644836
083014622
065488
0113424
1427382
23589374
08943372
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 584 to 724 computations (54.3% saved)

preprocess120.0ms (1.1%)

Memory
-1.2MiB live, 81.6MiB allocated
Remove

(negabs uy)

Compiler

Compiled 1 678 to 536 computations (68.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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