UniformSampleCone, y

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze205.0ms (1.9%)

Memory
9.6MiB live, 272.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
0%0%0.1%99.9%0%0%0%3
12.5%0%0.1%99.9%0%0%0%4
18.7%0%0.1%99.9%0%0%0%5
28.1%0%0.1%99.9%0%0%0%6
42.2%0%0.1%99.9%0%0%0%7
49.2%0%0%99.9%0%0%0%8
57.4%0.1%0%99.9%0%0%0%9
67%0.1%0%99.9%0%0%0%10
71.8%0.1%0%99.9%0%0%0%11
76.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 49 to 28 computations (42.9% saved)

sample2.0s (18.7%)

Memory
85.9MiB live, 2 160.9MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 270.0ms (26.4% of total)
ival-sinu: 240.0ms (23.4% of total)
ival-<=: 140.0ms (13.7% of total)
const: 136.0ms (13.3% of total)
ival-sub: 88.0ms (8.6% of total)
ival-sqrt: 63.0ms (6.1% of total)
ival-add: 43.0ms (4.2% of total)
ival-and: 31.0ms (3% of total)
exact: 12.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain460.0ms (4.2%)

Memory
-15.3MiB live, 791.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1909(0.003605130361393094 4.169864009639923e-9 6.258084886293194e-34)4(0.005377789493650198 0.013918795622885227 3.082634787623245e-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))))cancellation19515
Confusion
Predicted +Predicted -
+1925
-356
Precision
0.9846153846153847
Recall
0.9746192893401016
Confusion?
Predicted +Predicted MaybePredicted -
+19250
-31046
Precision?
0.9380952380952381
Recall?
1.0
Freqs
test
numberfreq
061
1195
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms508×0valid
1.0ms1valid
Compiler

Compiled 461 to 133 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-sinu: 30.0ms (42.7% of total)
ival-mult: 25.0ms (35.6% of total)
ival-sub: 5.0ms (7.1% of total)
ival-sqrt: 4.0ms (5.7% of total)
ival-pi: 3.0ms (4.3% of total)
ival-add: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess277.0ms (2.5%)

Memory
29.0MiB live, 250.6MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify293.0ms (2.7%)

Memory
-26.0MiB live, 217.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016108
027108
151108
2132108
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
35.7MiB live, 70.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.39291000976844204
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
accuracy0.4186325195368841
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.32105440409528
(-.f32 #s(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
30.0ms254×0valid
0.0ms1valid
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 (37.9% of total)
ival-sinu: 4.0ms (21.6% of total)
ival-sub: 2.0ms (10.8% of total)
ival-sqrt: 2.0ms (10.8% of total)
ival-pi: 1.0ms (5.4% of total)
ival-add: 1.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-2.1MiB live, 35.7MiB 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
5.0ms
ux
@inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms
ux
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
ux
@-inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
uy
@inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
maxCos
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify235.0ms (2.2%)

Memory
-5.1MiB live, 229.9MiB 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))

rewrite278.0ms (2.6%)

Memory
-12.5MiB live, 308.3MiB 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))
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(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)))

eval218.0ms (2%)

Memory
35.3MiB live, 312.1MiB allocated
Compiler

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

prune69.0ms (0.6%)

Memory
-31.1MiB live, 213.7MiB allocated
Pruning

47 alts after pruning (47 fresh and 0 done)

PrunedKeptTotal
New77547822
Fresh000
Picked101
Done000
Total77647823
Accuracy
96.0%
Counts
823 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.0%
(/.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)))))
20.8%
(/.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 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
57.1%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.2%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
56.8%
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
16.5%
(*.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))))
18.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (neg.f32 (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
23.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))))
24.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
24.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
23.7%
(*.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 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))))))
23.8%
(*.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)))))
36.9%
(*.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)))))
23.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
23.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
24.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
19.3%
(*.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))))
18.2%
(*.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)))))))
23.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))))
18.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
20.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
19.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.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))))))
57.3%
(*.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))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
55.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
58.1%
(*.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)) #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 uy #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))))))
26.1%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
3.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
7.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (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))))))
30.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 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))))))
58.0%
(*.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 (/.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)))))
45.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
1.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
29.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
20.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
32.0%
(*.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 (-.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)))))
3.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux))))
57.0%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.2%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
48.1%
#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))))))
48.1%
#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 3 678 to 2 060 computations (44% saved)

simplify444.0ms (4.1%)

Memory
-46.9MiB live, 232.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
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
065772
0111766
1195765
2469755
31621755
45847755
08184689
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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))))
(*.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)))
(cbrt.f32 (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (PI.f32))
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.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 (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))))
(sin.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))
(*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(cbrt.f32 (PI.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 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(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)))))
(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

localize383.0ms (3.5%)

Memory
41.4MiB live, 313.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.4140625
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
accuracy0.4186325195368841
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy0.48666000976844204
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
accuracy13.32105440409528
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.20523250917078512
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.39291000976844204
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
accuracy1.9751486358183132
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.39291000976844204
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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)))))))
accuracy0.4186325195368841
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
accuracy13.32105440409528
(-.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)))))
accuracy0.39291000976844204
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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))))))
accuracy0.4186325195368841
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy6.189582666324047
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.32105440409528
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.328125
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
accuracy0.39291000976844204
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
accuracy0.4186325195368841
(*.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)))
accuracy13.32105440409528
(-.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
178.0ms12×1valid
107.0ms244×0valid
Compiler

Compiled 1 441 to 117 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-sub: 177.0ms (68.1% of total)
ival-mult: 28.0ms (10.8% of total)
ival-pow: 15.0ms (5.8% of total)
ival-add: 11.0ms (4.2% of total)
ival-sqrt: 5.0ms (1.9% of total)
ival-sinu: 5.0ms (1.9% of total)
const: 4.0ms (1.5% of total)
ival-div: 3.0ms (1.2% of total)
ival-pow2: 3.0ms (1.2% of total)
ival-sin: 3.0ms (1.2% of total)
ival-cbrt: 2.0ms (0.8% of total)
adjust: 1.0ms (0.4% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series256.0ms (2.4%)

Memory
-30.7MiB live, 371.1MiB allocated
Counts
23 → 99
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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))))
(*.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 (-.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)))))))
(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 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
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 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 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) (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 (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* -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) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 uy)
(* 2 (* uy (cbrt (pow (PI) 2))))
(* 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)))))
(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))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) 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)))))))
(* maxCos (+ ux (/ 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))))
(* -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)))))))
(* -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))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (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))
Calls

9 calls:

TimeVariablePointExpression
67.0ms
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)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 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))))))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (* (* (sqrt (PI)) 2) uy))
40.0ms
maxCos
@inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 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))))))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (* (* (sqrt (PI)) 2) uy))
36.0ms
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)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 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))))))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (* (* (sqrt (PI)) 2) uy))
25.0ms
maxCos
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 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))))))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (* (* (sqrt (PI)) 2) uy))
18.0ms
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)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (cbrt (PI)) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 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))))))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (* (* (sqrt (PI)) 2) uy))

simplify157.0ms (1.4%)

Memory
10.5MiB live, 237.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04982529
116132377
258502253
082312134
Stop Event
iter limit
node limit
Counts
99 → 99
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 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 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) (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 (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* -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) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 uy)
(* 2 (* uy (cbrt (pow (PI) 2))))
(* 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)))))
(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))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) 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)))))))
(* maxCos (+ ux (/ 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))))
(* -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)))))))
(* -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))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (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))
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 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.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 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.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 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (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 #s(literal 2 binary32) uy) (PI.f32))) (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 (* 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))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
(* 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 (/.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)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32))) (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 (/.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)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) #s(literal -1/8 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 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 (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* -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 (/.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)
(* -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 #s(literal 2 binary32) uy) (PI.f32)))) (-.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 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32)))) (-.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 #s(literal 2 binary32) uy) (PI.f32))) (-.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 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (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 (-.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)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (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)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.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 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 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 #s(literal 2 binary32) uy) (PI.f32))
(* 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 #s(literal 2 binary32) uy) (PI.f32)))
(* 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 #s(literal 2 binary32) uy) (PI.f32)))
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(* 2 (* uy (cbrt (pow (PI) 2))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.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 #s(literal 2 binary32) uy) (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(* 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 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 maxCos ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.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 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.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 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.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 #s(literal 2 binary32) uy) (PI.f32)))))) #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 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(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 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 2 ux)
(-.f32 #s(literal 2 binary32) ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(-.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos #s(literal 2 binary32)) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(-.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (*.f32 maxCos ux)) maxCos #s(literal 2 binary32)) ux)
(* 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 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (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) (neg.f32 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 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) 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 #s(literal 2 binary32) uy) (PI.f32))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.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 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (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 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) ux) maxCos)
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) 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) (+.f32 (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (neg.f32 maxCos))
(* -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 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.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 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))

rewrite309.0ms (2.8%)

Memory
32.1MiB live, 507.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065380
0111328
1371312
22923302
08629284
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 012
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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))))
(*.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 (-.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)))))))
(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 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
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)))
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(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 uy (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 uy (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(*.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 uy (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))

eval347.0ms (3.2%)

Memory
-10.1MiB live, 343.4MiB allocated
Compiler

Compiled 100 344 to 5 648 computations (94.4% saved)

prune85.0ms (0.8%)

Memory
-0.4MiB live, 172.3MiB allocated
Pruning

52 alts after pruning (49 fresh and 3 done)

PrunedKeptTotal
New1 481351 516
Fresh281442
Picked235
Done000
Total1 511521 563
Accuracy
99.0%
Counts
1 563 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(/.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)))))
21.6%
(/.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 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
21.0%
(*.f32 (sqrt.f32 (-.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))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
57.2%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.1%
(*.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)))))))
57.9%
(*.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 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.0%
(*.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))))))
24.1%
(*.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))))))))))
37.1%
(*.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)))))
23.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
18.4%
(*.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)))))))
57.3%
(*.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) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (*.f32 (*.f32 maxCos 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 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
21.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.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))))))
57.3%
(*.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))))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
55.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
58.1%
(*.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)) #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 uy #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))))))
55.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
56.6%
(*.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))))))
30.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 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))))))
39.0%
(*.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 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))))) ux))))
20.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
10.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux (*.f32 #s(literal -2 binary32) maxCos))) ux))))
98.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))) ux))))
20.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (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))))
29.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
93.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
40.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos))) (*.f32 maxCos maxCos))) ux))))
19.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))) ux))))
57.2%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(approx (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) uy))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
20.1%
(*.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))))
48.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
48.1%
(*.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 (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))))))
25.8%
(*.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))))
48.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
19.9%
(*.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 (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)))))))
48.1%
(*.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 (*.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))))))
48.8%
(*.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 (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)))))))
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 (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))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
24.9%
(*.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 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
Compiler

Compiled 3 974 to 2 516 computations (36.7% saved)

simplify132.0ms (1.2%)

Memory
-1.5MiB live, 155.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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-diff704
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
cost-diff3680
(/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) 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-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
cost-diff64
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078937
0131914
1226868
2498849
31724844
46107791
08176764
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))
(*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
(-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)))
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
ux
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))
(*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
(-.f32 #s(literal 2 binary32) ux)
ux
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32)))
(neg.f32 ux)
ux
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
(-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 ux ux)
(pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))
#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)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
(*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos)))
(-.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
(fma.f32 maxCos #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
ux
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (fma.f32 (-.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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))
(*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
(-.f32 #s(literal 2 binary32) ux)
ux
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 (-.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 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32)))
(-.f32 #s(literal -1 binary32) (fma.f32 maxCos ux ux))
(neg.f32 ux)
ux
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
(-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 ux ux)
(pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))
#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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.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)

localize266.0ms (2.4%)

Memory
23.6MiB live, 216.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.38854521987808754
(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy0.39291000976844204
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy0.4186325195368841
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy13.32105440409528
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
accuracy0.39291000976844204
(*.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))))))
accuracy0.4140625
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.4186325195368841
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.32105440409528
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.20523250917078512
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.39291000976844204
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
accuracy1.959582996544319
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
accuracy0.4186325195368841
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.46635407959782027
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy6.189582666324047
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.32105440409528
(-.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))))
accuracy0.14453125
(*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
accuracy0.20523250917078512
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.39291000976844204
(*.f32 (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 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
Samples
158.0ms244×0valid
9.0ms12×1valid
Compiler

Compiled 1 694 to 136 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 97.0ms (67.9% of total)
ival-sub: 13.0ms (9.1% of total)
ival-div: 5.0ms (3.5% of total)
ival-pow2: 5.0ms (3.5% of total)
ival-sqrt: 5.0ms (3.5% of total)
ival-sinu: 5.0ms (3.5% of total)
ival-add: 5.0ms (3.5% of total)
ival-sin: 3.0ms (2.1% of total)
adjust: 1.0ms (0.7% of total)
ival-pi: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series85.0ms (0.8%)

Memory
-8.4MiB live, 112.4MiB allocated
Counts
26 → 234
Calls
Call 1
Inputs
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 uy #s(literal 2 binary32))
(*.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 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 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 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(fma.f32 maxCos ux #s(literal 1 binary32))
Outputs
(* 2 maxCos)
(- (* 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 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 (* ux (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))
(+ 1 (* ux (+ (* -1 (* ux (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))))) (* -1 (- (* -1 (+ 1 maxCos)) (* -2 maxCos))))))
(+ 1 (* ux (+ (* -1 (- (* -1 (+ 1 maxCos)) (* -2 maxCos))) (* ux (+ (* -1 (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos))))))) (* ux (+ (* -1 (* (- 1 (pow maxCos 2)) (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))) (* 2 (* maxCos (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))))))))))))
(+ 1 (* -1 (* ux (- (* -2 maxCos) (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (+ (* -1 (* ux (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))) (* -1 (- (* -2 maxCos) (* -1 (+ 1 maxCos)))))))
(+ 1 (* ux (+ (* -1 (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (* ux (+ (* -1 (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))) (* ux (* (+ 1 maxCos) (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))))))))
(* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))
(* ux (- (* ux (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(* ux (- (* ux (- (* ux (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(* ux (- (* ux (- (* ux (- (* -1 (* ux (* (+ 1 maxCos) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))) (* -1 (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(+ 1 (* -1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (+ (* -1 (* ux (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))))
(+ 1 (* ux (+ (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (* ux (+ (* -1 (* ux (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))
(* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* 1/2 (* (sqrt (/ ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))))
(+ (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* ux (+ (* -1/2 (* (sqrt (/ ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))) 2) (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (+ 1 maxCos) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))))))
(+ 1 (* maxCos ux))
(* ux (pow (- maxCos 1) 2))
(* 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) (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))
(* -1 (/ (+ 1 maxCos) (* ux (- 1 (pow maxCos 2)))))
(/ (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux))) ux)
(/ (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (- 1 (pow maxCos 2))))) (+ (* -1 (/ (+ 1 maxCos) (* (pow ux 2) (pow (- 1 (pow maxCos 2)) 2)))) (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux))))) ux)
(/ (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (- 1 (pow maxCos 2))))) (+ (* -1 (/ (+ 1 maxCos) (* (pow ux 2) (pow (- 1 (pow maxCos 2)) 2)))) (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (+ (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux)) (+ (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) (* (pow ux 3) (- 1 (pow maxCos 2))))) (* 2 (/ (* maxCos (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (+ 1 maxCos) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 3) (- 1 (pow maxCos 2)))))))))) ux)
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos)))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux))))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux)) (* -1 (/ (- (/ 1 (pow (+ 1 maxCos) 3)) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))) (pow ux 2))))))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux)) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 3))) (+ (/ 1 (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 4)))) (/ 1 (pow (+ 1 maxCos) 4))) (pow ux 3))) (* -1 (/ (- (/ 1 (pow (+ 1 maxCos) 3)) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))) (pow ux 2)))))))
(/ (* (pow ux 2) (* (- 1 (pow maxCos 2)) (- maxCos 1))) (+ 1 maxCos))
(* (pow ux 2) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (* ux (+ 1 maxCos)))) (/ 1 (* ux (+ 1 maxCos)))) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* ux (pow (+ 1 maxCos) 2))) (/ (pow maxCos 2) (* ux (+ 1 maxCos)))))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux))))))
(* (pow ux 2) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (* (pow ux 3) (pow (+ 1 maxCos) 3)))) (+ (/ 1 (* (pow ux 3) (pow (+ 1 maxCos) 3))) (/ 1 (pow ux 2)))) (+ (* -2 (/ maxCos (* (pow ux 3) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)) (+ (/ 1 (* (pow ux 3) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (pow ux 3) (pow (+ 1 maxCos) 4))) (/ (pow maxCos 2) (* (pow ux 3) (pow (+ 1 maxCos) 3))))))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* -1 (/ (* (pow ux 2) (* (- 1 (pow maxCos 2)) (- maxCos 1))) (+ 1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux))))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)))))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 3))) (/ 1 (pow (+ 1 maxCos) 3))) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (* -1 (/ (- maxCos 1) (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 4)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))))) (pow ux 3)))))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1))))))) (pow ux 2)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos)))))))
(* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 3))) (/ 1 (pow (+ 1 maxCos) 3))) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (* -1 (/ (- maxCos 1) (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 4)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3)))))))) (* 1/2 (/ (* (+ 1 maxCos) (* (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))))) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (pow ux 3)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1))))))) (pow ux 2)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (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 (/ (- 1 (* -1 maxCos)) (* ux (- 1 (pow maxCos 2)))))
(* -1 (/ (- (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (* ux (pow (- 1 (pow maxCos 2)) 2)))) (+ (/ 1 (* ux (- 1 (pow maxCos 2)))) (/ 1 (- 1 (pow maxCos 2))))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (* ux (- 1 (pow maxCos 2))))) (* -1 (/ (- 1 (* -1 maxCos)) (* ux (pow (- 1 (pow maxCos 2)) 2))))) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) ux)) (/ 1 (- 1 (pow maxCos 2)))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* maxCos (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (- 1 (* -1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* ux (- 1 (pow maxCos 2))))) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (* ux (pow (- 1 (pow maxCos 2)) 3)))) (/ 1 (* ux (pow (- 1 (pow maxCos 2)) 2))))) (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (- 1 (* -1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) ux)) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) ux)) (/ 1 (- 1 (pow maxCos 2)))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))
(* -1 (* ux (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (* ux (- 1 (* -1 maxCos))))) (+ (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (/ 1 (* ux (- 1 (* -1 maxCos)))))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (* ux (pow (- 1 (* -1 maxCos)) 2)))) (/ 1 (* ux (pow (- 1 (* -1 maxCos)) 2)))) (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))) (- 1 (* -1 maxCos))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))) ux)) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) ux)) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))) ux)) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 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)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))) (- 1 (* -1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) ux)) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (* ux (- 1 (* -1 maxCos))))) (+ (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (/ 1 (* ux (- 1 (* -1 maxCos))))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) ux)) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))))) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 uy)
(* 2 (* uy (sqrt (PI))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))
ux
(+ ux (* maxCos (+ 2 (* -2 ux))))
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (/ (+ 1 ux) (- (pow ux 2) 1)))
(+ (* -1 (* maxCos (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2)))))) (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))))
(+ (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))) (* maxCos (+ (* -1 (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (* maxCos (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))))))
(+ (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))) (* maxCos (+ (* -1 (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (* maxCos (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (+ (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))) (* maxCos (+ (* -1 (/ (* (pow ux 2) (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* 2 (/ (* ux (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1)))))))))))
(* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (* maxCos (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2))))) (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos (+ (* -1 (* maxCos (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (* -1 (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))))))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos (+ (* -1 (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (* maxCos (+ (* -1 (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (/ (* maxCos (* ux (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (+ 1 ux)))))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(- (+ 1 (* maxCos (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(- (+ 1 (* maxCos (- (* maxCos (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux)))) (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(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))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))
(+ (* -1 (* maxCos (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(+ (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))) (* maxCos (+ (* -1 (* maxCos (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))))))
(+ (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))) (* maxCos (+ (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (* maxCos (+ (* -1 (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux))))) (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux)))) (* -1/2 (/ (* (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(* (pow maxCos 2) ux)
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (/ 1 ux)) maxCos)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (+ (* -1 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (pow maxCos 2))) (/ 1 ux))) maxCos)
(/ (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) (- (pow ux 2) 1)) (* (pow maxCos 3) (pow ux 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (+ (* -1 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (pow maxCos 2))) (+ (* 2 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (* (pow maxCos 3) ux))) (/ 1 ux))))) maxCos)
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (* 2 (/ 1 maxCos)))))
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (* -1 (/ (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux))) (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (* -1 (/ (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux))) (pow maxCos 2))) (+ (* 2 (/ 1 maxCos)) (/ (* (+ 1 ux) (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux)))) (* (pow maxCos 3) ux)))))))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* (pow maxCos 2) (- (+ (* -2 (/ ux maxCos)) (* -1 (/ (* ux (- 1 ux)) maxCos))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (pow ux 2))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (/ 1 (pow maxCos 2)) (/ (* (- 1 ux) (- (pow ux 2) 1)) (* (pow maxCos 3) ux))) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (+ (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux)) (pow ux 2))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (+ (* -1 (/ (- (/ (* (- 1 ux) (- (pow ux 2) 1)) ux) (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) ux)) (pow maxCos 3))) (pow ux 2)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (/ (* (- 1 ux) (- (pow ux 2) 1)) ux) (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) ux))) (* 1/2 (/ (* (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ ux (/ 1 maxCos)))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (* 2 ux) 2) maxCos))))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (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 (/ (- (+ (* -1 (/ (+ 1 ux) (* maxCos (pow ux 2)))) (/ 2 (* maxCos (pow ux 2)))) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3)))) maxCos))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) (- (pow ux 2) 1)) (pow ux 2))) (* 2 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3)))) ux))) maxCos)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3))))) maxCos))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 2 (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 2 (+ (* -1 (+ 1 ux)) (* -1 (/ (- (pow ux 2) 1) (* maxCos ux))))) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) (* maxCos ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -1 (+ 1 ux)) (* -1 (/ (+ (* -1 (- (* -1 (/ (- (pow ux 2) 1) ux)) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux))) (/ (* (+ 1 ux) (- (* -1 (/ (- (pow ux 2) 1) ux)) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux))) (* maxCos ux))) maxCos)))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux))))) maxCos)) (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) ux))) maxCos))) (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux))))) maxCos)) (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (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))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) (* maxCos ux))) (pow ux 2)) (/ (* ux (+ 1 ux)) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) (* maxCos ux)))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* maxCos ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (* maxCos ux)))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* maxCos ux)))) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) ux)))) (* 1/2 (/ (* (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
maxCos
@0
((- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (* 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)))))) (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2))) (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))))) (+ (* maxCos ux) 1))
13.0ms
ux
@-inf
((- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (* 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)))))) (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2))) (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))))) (+ (* maxCos ux) 1))
10.0ms
ux
@0
((- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (* 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)))))) (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2))) (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))))) (+ (* maxCos ux) 1))
10.0ms
ux
@inf
((- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (* 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)))))) (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2))) (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))))) (+ (* maxCos ux) 1))
7.0ms
maxCos
@-inf
((- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (* 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)))))) (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2))) (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* uy (* 2 (sqrt (PI)))) (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))))) (+ (* maxCos ux) 1))

simplify242.0ms (2.2%)

Memory
13.9MiB live, 368.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163814803
1574914206
0805713667
Stop Event
iter limit
node limit
Counts
234 → 233
Calls
Call 1
Inputs
(* 2 maxCos)
(- (* 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 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 (* ux (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))
(+ 1 (* ux (+ (* -1 (* ux (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))))) (* -1 (- (* -1 (+ 1 maxCos)) (* -2 maxCos))))))
(+ 1 (* ux (+ (* -1 (- (* -1 (+ 1 maxCos)) (* -2 maxCos))) (* ux (+ (* -1 (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos))))))) (* ux (+ (* -1 (* (- 1 (pow maxCos 2)) (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))) (* 2 (* maxCos (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))))))))))))
(+ 1 (* -1 (* ux (- (* -2 maxCos) (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (+ (* -1 (* ux (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))) (* -1 (- (* -2 maxCos) (* -1 (+ 1 maxCos)))))))
(+ 1 (* ux (+ (* -1 (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (* ux (+ (* -1 (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))) (* ux (* (+ 1 maxCos) (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))))))))
(* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))
(* ux (- (* ux (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(* ux (- (* ux (- (* ux (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(* ux (- (* ux (- (* ux (- (* -1 (* ux (* (+ 1 maxCos) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))) (* -1 (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(+ 1 (* -1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (+ (* -1 (* ux (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))))
(+ 1 (* ux (+ (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (* ux (+ (* -1 (* ux (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))
(* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* 1/2 (* (sqrt (/ ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))))
(+ (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* ux (+ (* -1/2 (* (sqrt (/ ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))) 2) (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (+ 1 maxCos) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))))))
(+ 1 (* maxCos ux))
(* ux (pow (- maxCos 1) 2))
(* 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) (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))
(* -1 (/ (+ 1 maxCos) (* ux (- 1 (pow maxCos 2)))))
(/ (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux))) ux)
(/ (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (- 1 (pow maxCos 2))))) (+ (* -1 (/ (+ 1 maxCos) (* (pow ux 2) (pow (- 1 (pow maxCos 2)) 2)))) (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux))))) ux)
(/ (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (- 1 (pow maxCos 2))))) (+ (* -1 (/ (+ 1 maxCos) (* (pow ux 2) (pow (- 1 (pow maxCos 2)) 2)))) (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (+ (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux)) (+ (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) (* (pow ux 3) (- 1 (pow maxCos 2))))) (* 2 (/ (* maxCos (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (+ 1 maxCos) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 3) (- 1 (pow maxCos 2)))))))))) ux)
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos)))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux))))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux)) (* -1 (/ (- (/ 1 (pow (+ 1 maxCos) 3)) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))) (pow ux 2))))))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux)) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 3))) (+ (/ 1 (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 4)))) (/ 1 (pow (+ 1 maxCos) 4))) (pow ux 3))) (* -1 (/ (- (/ 1 (pow (+ 1 maxCos) 3)) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))) (pow ux 2)))))))
(/ (* (pow ux 2) (* (- 1 (pow maxCos 2)) (- maxCos 1))) (+ 1 maxCos))
(* (pow ux 2) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (* ux (+ 1 maxCos)))) (/ 1 (* ux (+ 1 maxCos)))) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* ux (pow (+ 1 maxCos) 2))) (/ (pow maxCos 2) (* ux (+ 1 maxCos)))))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux))))))
(* (pow ux 2) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (* (pow ux 3) (pow (+ 1 maxCos) 3)))) (+ (/ 1 (* (pow ux 3) (pow (+ 1 maxCos) 3))) (/ 1 (pow ux 2)))) (+ (* -2 (/ maxCos (* (pow ux 3) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)) (+ (/ 1 (* (pow ux 3) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (pow ux 3) (pow (+ 1 maxCos) 4))) (/ (pow maxCos 2) (* (pow ux 3) (pow (+ 1 maxCos) 3))))))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* -1 (/ (* (pow ux 2) (* (- 1 (pow maxCos 2)) (- maxCos 1))) (+ 1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux))))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)))))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 3))) (/ 1 (pow (+ 1 maxCos) 3))) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (* -1 (/ (- maxCos 1) (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 4)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))))) (pow ux 3)))))))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1))))))) (pow ux 2)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos)))))))
(* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 3))) (/ 1 (pow (+ 1 maxCos) 3))) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (* -1 (/ (- maxCos 1) (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 4)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3)))))))) (* 1/2 (/ (* (+ 1 maxCos) (* (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))))) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (pow ux 3)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1))))))) (pow ux 2)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (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 (/ (- 1 (* -1 maxCos)) (* ux (- 1 (pow maxCos 2)))))
(* -1 (/ (- (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (* ux (pow (- 1 (pow maxCos 2)) 2)))) (+ (/ 1 (* ux (- 1 (pow maxCos 2)))) (/ 1 (- 1 (pow maxCos 2))))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (* ux (- 1 (pow maxCos 2))))) (* -1 (/ (- 1 (* -1 maxCos)) (* ux (pow (- 1 (pow maxCos 2)) 2))))) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) ux)) (/ 1 (- 1 (pow maxCos 2)))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* maxCos (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (- 1 (* -1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* ux (- 1 (pow maxCos 2))))) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (* ux (pow (- 1 (pow maxCos 2)) 3)))) (/ 1 (* ux (pow (- 1 (pow maxCos 2)) 2))))) (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (- 1 (* -1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) ux)) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) ux)) (/ 1 (- 1 (pow maxCos 2)))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))
(* -1 (* ux (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (* ux (- 1 (* -1 maxCos))))) (+ (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (/ 1 (* ux (- 1 (* -1 maxCos)))))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (* ux (pow (- 1 (* -1 maxCos)) 2)))) (/ 1 (* ux (pow (- 1 (* -1 maxCos)) 2)))) (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))) (- 1 (* -1 maxCos))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))) ux)) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) ux)) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))) ux)) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 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)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))) (- 1 (* -1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) ux)) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (* ux (- 1 (* -1 maxCos))))) (+ (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (/ 1 (* ux (- 1 (* -1 maxCos))))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) ux)) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))))) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 uy)
(* 2 (* uy (sqrt (PI))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))
ux
(+ ux (* maxCos (+ 2 (* -2 ux))))
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (/ (+ 1 ux) (- (pow ux 2) 1)))
(+ (* -1 (* maxCos (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2)))))) (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))))
(+ (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))) (* maxCos (+ (* -1 (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (* maxCos (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))))))
(+ (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))) (* maxCos (+ (* -1 (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (* maxCos (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (+ (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))) (* maxCos (+ (* -1 (/ (* (pow ux 2) (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* 2 (/ (* ux (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1)))))))))))
(* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (* maxCos (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2))))) (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos (+ (* -1 (* maxCos (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (* -1 (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))))))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos (+ (* -1 (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (* maxCos (+ (* -1 (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (/ (* maxCos (* ux (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (+ 1 ux)))))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(- (+ 1 (* maxCos (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(- (+ 1 (* maxCos (- (* maxCos (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux)))) (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(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))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))
(+ (* -1 (* maxCos (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(+ (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))) (* maxCos (+ (* -1 (* maxCos (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))))))
(+ (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))) (* maxCos (+ (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (* maxCos (+ (* -1 (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux))))) (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux)))) (* -1/2 (/ (* (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(* (pow maxCos 2) ux)
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (/ 1 ux)) maxCos)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (+ (* -1 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (pow maxCos 2))) (/ 1 ux))) maxCos)
(/ (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) (- (pow ux 2) 1)) (* (pow maxCos 3) (pow ux 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (+ (* -1 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (pow maxCos 2))) (+ (* 2 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (* (pow maxCos 3) ux))) (/ 1 ux))))) maxCos)
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (* 2 (/ 1 maxCos)))))
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (* -1 (/ (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux))) (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (* -1 (/ (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux))) (pow maxCos 2))) (+ (* 2 (/ 1 maxCos)) (/ (* (+ 1 ux) (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux)))) (* (pow maxCos 3) ux)))))))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* (pow maxCos 2) (- (+ (* -2 (/ ux maxCos)) (* -1 (/ (* ux (- 1 ux)) maxCos))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (pow ux 2))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (/ 1 (pow maxCos 2)) (/ (* (- 1 ux) (- (pow ux 2) 1)) (* (pow maxCos 3) ux))) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (+ (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux)) (pow ux 2))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (+ (* -1 (/ (- (/ (* (- 1 ux) (- (pow ux 2) 1)) ux) (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) ux)) (pow maxCos 3))) (pow ux 2)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (/ (* (- 1 ux) (- (pow ux 2) 1)) ux) (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) ux))) (* 1/2 (/ (* (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ ux (/ 1 maxCos)))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (* 2 ux) 2) maxCos))))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (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 (/ (- (+ (* -1 (/ (+ 1 ux) (* maxCos (pow ux 2)))) (/ 2 (* maxCos (pow ux 2)))) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3)))) maxCos))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) (- (pow ux 2) 1)) (pow ux 2))) (* 2 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3)))) ux))) maxCos)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3))))) maxCos))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 2 (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 2 (+ (* -1 (+ 1 ux)) (* -1 (/ (- (pow ux 2) 1) (* maxCos ux))))) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) (* maxCos ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -1 (+ 1 ux)) (* -1 (/ (+ (* -1 (- (* -1 (/ (- (pow ux 2) 1) ux)) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux))) (/ (* (+ 1 ux) (- (* -1 (/ (- (pow ux 2) 1) ux)) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux))) (* maxCos ux))) maxCos)))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux))))) maxCos)) (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) ux))) maxCos))) (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux))))) maxCos)) (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (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))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) (* maxCos ux))) (pow ux 2)) (/ (* ux (+ 1 ux)) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) (* maxCos ux)))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* maxCos ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (* maxCos ux)))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* maxCos ux)))) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) ux)))) (* 1/2 (/ (* (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
Outputs
(* 2 maxCos)
(*.f32 #s(literal 2 binary32) maxCos)
(- (* ux (pow (- maxCos 1) 2)) (* -2 maxCos))
(fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))
(* (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 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* -1 (* ux (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos)) ux))
(+ 1 (* ux (+ (* -1 (* ux (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))))) (* -1 (- (* -1 (+ 1 maxCos)) (* -2 maxCos))))))
(fma.f32 (-.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos)) maxCos) #s(literal 2 binary32)))) (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (- (* -1 (+ 1 maxCos)) (* -2 maxCos))) (* ux (+ (* -1 (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos))))))) (* ux (+ (* -1 (* (- 1 (pow maxCos 2)) (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))) (* 2 (* maxCos (- (pow maxCos 2) (+ 1 (* 2 (* maxCos (- (* -1 (+ 1 maxCos)) (* -2 maxCos)))))))))))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) maxCos) (-.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos)) maxCos) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos)))) ux) (-.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos)) maxCos) #s(literal 2 binary32)))) ux (neg.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 #s(literal -2 binary32) maxCos)))) ux #s(literal 1 binary32))
(+ 1 (* -1 (* ux (- (* -2 maxCos) (* -1 (+ 1 maxCos))))))
(fma.f32 (neg.f32 ux) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (* ux (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))) (* -1 (- (* -2 maxCos) (* -1 (+ 1 maxCos)))))))
(fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) ux (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (* ux (+ (* -1 (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))) (* ux (* (+ 1 maxCos) (- 1 (+ (* (+ 1 maxCos) (- (* -2 maxCos) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 ux maxCos ux) (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos)))) (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos)))) ux (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)))) ux #s(literal 1 binary32))
(* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) ux)
(* ux (- (* ux (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(*.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) ux) (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux)
(* ux (- (* ux (- (* ux (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) ux) (neg.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) ux (*.f32 #s(literal 1 binary32) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux)
(* ux (- (* ux (- (* ux (- (* -1 (* ux (* (+ 1 maxCos) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))) (* -1 (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos ux) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos)))))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))))) ux (neg.f32 (neg.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos)))))) ux (neg.f32 (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))))) ux)
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (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))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(+ 1 (* -1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))))
(fma.f32 (neg.f32 ux) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (* ux (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))) (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))))
(fma.f32 (-.f32 (*.f32 (neg.f32 ux) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos)))) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (* ux (+ (* -1 (* ux (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))))))) (* -1 (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) ux (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) ux (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux #s(literal 1 binary32))
(* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* 1/2 (* (sqrt (/ ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 ux (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))) (* ux (+ (* -1/2 (* (sqrt (/ ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2))) 2) (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (+ 1 maxCos) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (- (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (+ 1 maxCos) (- (+ 1 (* -2 (* maxCos (- maxCos 1)))) (+ (* (+ 1 maxCos) (- (+ (* -2 maxCos) (* -1 (- maxCos 1))) (* -1 (+ 1 maxCos)))) (pow maxCos 2)))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) ux) (/.f32 (pow.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) #s(literal 2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) (+.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos))))) (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* ux (pow (- maxCos 1) 2))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* ux (* (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) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.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)
(* -1 (/ (+ 1 maxCos) (* ux (- 1 (pow maxCos 2)))))
(/.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux))
(/ (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux))) ux)
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) ux)) ux)
(/ (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (- 1 (pow maxCos 2))))) (+ (* -1 (/ (+ 1 maxCos) (* (pow ux 2) (pow (- 1 (pow maxCos 2)) 2)))) (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux))))) ux)
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (*.f32 ux ux)) (*.f32 maxCos (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (-.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) ux)) (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)) (*.f32 ux ux))))) ux)
(/ (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (- 1 (pow maxCos 2))))) (+ (* -1 (/ (+ 1 maxCos) (* (pow ux 2) (pow (- 1 (pow maxCos 2)) 2)))) (+ (* -1 (/ (+ 1 maxCos) (- 1 (pow maxCos 2)))) (+ (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) ux)) (+ (* -1 (/ (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2)))) (* (pow ux 3) (- 1 (pow maxCos 2))))) (* 2 (/ (* maxCos (+ (* -2 (/ (* maxCos (- (/ 1 (- 1 (pow maxCos 2))) (* -2 (/ (* maxCos (+ 1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (+ 1 maxCos) (pow (- 1 (pow maxCos 2)) 2))))) (* (pow ux 3) (- 1 (pow maxCos 2)))))))))) ux)
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (*.f32 ux ux)) (*.f32 maxCos (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)) (*.f32 ux ux))) (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (-.f32 (fma.f32 (*.f32 maxCos (/.f32 (fma.f32 (*.f32 maxCos (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) #s(literal -2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 ux #s(literal 3 binary32))))) #s(literal 2 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) ux)))) ux)
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos)))
(neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 #s(literal 1 binary32) maxCos)))
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux)) ux)
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux)) (* -1 (/ (- (/ 1 (pow (+ 1 maxCos) 3)) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))) (pow ux 2))))))
(*.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (fma.f32 (/.f32 maxCos (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (+.f32 (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))))) (*.f32 ux ux))) ux)
(* ux (+ (* -1 (/ (- 1 (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))) ux)) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 3))) (+ (/ 1 (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 4)))) (/ 1 (pow (+ 1 maxCos) 4))) (pow ux 3))) (* -1 (/ (- (/ 1 (pow (+ 1 maxCos) 3)) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))) (pow ux 2)))))))
(*.f32 (-.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) #s(literal -2 binary32) (+.f32 (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)))) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (fma.f32 (/.f32 maxCos (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (+.f32 (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))))) (*.f32 ux ux))) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) maxCos))) ux)
(/ (* (pow ux 2) (* (- 1 (pow maxCos 2)) (- maxCos 1))) (+ 1 maxCos))
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))
(* (pow ux 2) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (* ux (+ 1 maxCos)))) (/ 1 (* ux (+ 1 maxCos)))) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* ux (pow (+ 1 maxCos) 2))) (/ (pow maxCos 2) (* ux (+ 1 maxCos)))))))
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (fma.f32 ux maxCos ux)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (/.f32 (*.f32 maxCos maxCos) (fma.f32 ux maxCos ux))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux))))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (*.f32 ux ux))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) ux))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (* (pow ux 3) (pow (+ 1 maxCos) 3)))) (+ (/ 1 (* (pow ux 3) (pow (+ 1 maxCos) 3))) (/ 1 (pow ux 2)))) (+ (* -2 (/ maxCos (* (pow ux 3) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)) (+ (/ 1 (* (pow ux 3) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (* (pow ux 3) (pow (+ 1 maxCos) 4))) (/ (pow maxCos 2) (* (pow ux 3) (pow (+ 1 maxCos) 3))))))))))))
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -2 binary32) maxCos) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (fma.f32 (/.f32 #s(literal -2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) (-.f32 (-.f32 (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (/.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) (/.f32 maxCos (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) ux)) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (*.f32 ux ux))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* ux (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* -1 (/ (* (pow ux 2) (* (- 1 (pow maxCos 2)) (- maxCos 1))) (+ 1 maxCos)))
(neg.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 ux ux)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos)))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux))))
(*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)))))
(*.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (*.f32 ux ux))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2)))) (pow ux 2))) (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) ux)) (* -1 (/ (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 3))) (/ 1 (pow (+ 1 maxCos) 3))) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (* -1 (/ (- maxCos 1) (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 4)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3))))))) (pow ux 3)))))))
(*.f32 (-.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)))) (fma.f32 (/.f32 maxCos (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (-.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) ux)) (/.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))
(* (* ux (sin (* 2 (* uy (PI))))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 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 (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 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 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1))))))) (pow ux 2)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux))) (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 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 (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 3))) (/ 1 (pow (+ 1 maxCos) 3))) (+ (* -2 (/ maxCos (pow (+ 1 maxCos) 2))) (+ (* -1 (/ (- maxCos 1) (pow (+ 1 maxCos) 2))) (+ (/ 1 (+ 1 maxCos)) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 4)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 3)))))))) (* 1/2 (/ (* (+ 1 maxCos) (* (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))))) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (pow ux 3)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (/ maxCos (+ 1 maxCos))) (+ (* -1 (/ (- maxCos 1) (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 3)) (/ (pow maxCos 2) (pow (+ 1 maxCos) 2))))) (+ (* -2 (/ (* maxCos (- maxCos 1)) (pow (+ 1 maxCos) 2))) (/ 1 (pow (+ 1 maxCos) 2))))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos)))) 2)) (* (- 1 (pow maxCos 2)) (- maxCos 1))))))) (pow ux 2)) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* maxCos (- maxCos 1)) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))) (+ (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (pow (+ 1 maxCos) 2)) (/ (pow maxCos 2) (+ 1 maxCos))))) ux) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (- maxCos 1)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (/ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ 1 maxCos))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))))) (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos))))) (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)))) (fma.f32 (/.f32 maxCos (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (-.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))) (pow.f32 ux #s(literal 3 binary32))))) (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (/.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (*.f32 maxCos maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux))) (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (*.f32 maxCos maxCos) (+.f32 #s(literal 1 binary32) maxCos)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (/ 1 ux)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) ux)
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 ux (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) ux) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))))) ux)) ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (neg.f32 (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* 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 (/ (- 1 (* -1 maxCos)) (* ux (- 1 (pow maxCos 2)))))
(neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))
(* -1 (/ (- (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (* ux (pow (- 1 (pow maxCos 2)) 2)))) (+ (/ 1 (* ux (- 1 (pow maxCos 2)))) (/ 1 (- 1 (pow maxCos 2))))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) ux) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) ux))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (* ux (- 1 (pow maxCos 2))))) (* -1 (/ (- 1 (* -1 maxCos)) (* ux (pow (- 1 (pow maxCos 2)) 2))))) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) ux)) (/ 1 (- 1 (pow maxCos 2)))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 maxCos ux)) #s(literal -2 binary32)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) ux)) (/.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) ux))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* maxCos (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (- 1 (* -1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) (* ux (- 1 (pow maxCos 2))))) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (* ux (pow (- 1 (pow maxCos 2)) 3)))) (/ 1 (* ux (pow (- 1 (pow maxCos 2)) 2))))) (+ (* -2 (/ (* maxCos (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) (- 1 (pow maxCos 2)))) (* -1 (/ (- 1 (* -1 maxCos)) (pow (- 1 (pow maxCos 2)) 2))))) ux)) (+ (* 2 (/ (* maxCos (- 1 (* -1 maxCos))) (pow (- 1 (pow maxCos 2)) 2))) (/ 1 (- 1 (pow maxCos 2))))) ux)) (/ 1 (- 1 (pow maxCos 2)))) (* -1 (/ maxCos (- 1 (pow maxCos 2))))) ux))
(neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 maxCos (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 3 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) ux) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)) ux))) (-.f32 (*.f32 (*.f32 maxCos (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)))))) ux)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) ux)) (/.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) ux))
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))
(neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))
(* -1 (* ux (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) ux) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (* ux (- 1 (* -1 maxCos))))) (+ (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (/ 1 (* ux (- 1 (* -1 maxCos)))))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (-.f32 (-.f32 (fma.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux))) (/.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) ux) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (* ux (pow (- 1 (* -1 maxCos)) 2)))) (/ 1 (* ux (pow (- 1 (* -1 maxCos)) 2)))) (+ (* -1 (/ (- (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- 1 (pow maxCos 2)) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (- 1 (* -1 maxCos)))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)) ux)) (/.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)) ux))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) ux) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))) (- 1 (* -1 maxCos))))
(neg.f32 (*.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))) ux)) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) ux)) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))) ux)) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) ux)) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))) (- 1 (* -1 maxCos)))
(*.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) ux)) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (* ux (- 1 (* -1 maxCos))))) (+ (* 2 (/ maxCos (- 1 (* -1 maxCos)))) (/ 1 (* ux (- 1 (* -1 maxCos))))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) ux)) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) ux)) (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(*.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (/.f32 (-.f32 (-.f32 (-.f32 (fma.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux))) (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) ux))) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux)) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) ux)) (*.f32 ux ux))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.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)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.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)))) (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 (*.f32 (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) #s(literal 1/2 binary32))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))) (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos))))))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))))) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) (* ux (sqrt -1))) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (- (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos))))) (- 1 (* -1 maxCos))))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos))))) 2)) (* (pow (sqrt -1) 2) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) (* 2 (/ maxCos (- 1 (* -1 maxCos)))))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) (/ (pow maxCos 2) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 maxCos)))) (/ 1 (- 1 (* -1 maxCos)))))) (sqrt -1)) (sqrt (/ (- 1 (* -1 maxCos)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (/ (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))) (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 2 binary32))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))))) ux)) ux)))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (fma.f32 (*.f32 (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)))) (*.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 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.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 ux maxCos #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 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.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 ux maxCos #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 ux maxCos #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 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 (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(* 2 (* uy (sqrt (PI))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(* 2 (* (* uy (PI)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 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) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (* -1 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux)))))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 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) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 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 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 (/ (* (- (+ 1 (* maxCos ux)) ux) (- (pow ux 2) (pow (+ 1 (* maxCos ux)) 2))) (+ 1 (+ ux (* maxCos ux))))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
ux
(+ ux (* maxCos (+ 2 (* -2 ux))))
(fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos ux)
(+ ux (* maxCos (+ 2 (+ (* -2 ux) (* maxCos ux)))))
(fma.f32 (fma.f32 ux (+.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) maxCos ux)
(* (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 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) ux) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (/ (+ 1 ux) (- (pow ux 2) 1)))
(/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(+ (* -1 (* maxCos (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2)))))) (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))))
(fma.f32 (neg.f32 maxCos) (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32))))
(+ (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))) (* maxCos (+ (* -1 (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (* maxCos (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 ux (/.f32 (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal -2 binary32) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32))))) maxCos (neg.f32 (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))))) maxCos (/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32))))
(+ (* -1 (/ (+ 1 ux) (- (pow ux 2) 1))) (* maxCos (+ (* -1 (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (* maxCos (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (+ (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))) (* maxCos (+ (* -1 (/ (* (pow ux 2) (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* 2 (/ (* ux (+ (* -2 (/ (* ux (- (/ ux (- (pow ux 2) 1)) (* -2 (/ (* ux (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1))) (* -1 (/ (* (pow ux 2) (+ 1 ux)) (pow (- (pow ux 2) 1) 2))))) (- (pow ux 2) 1)))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 ux (/.f32 (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal -2 binary32) (fma.f32 (fma.f32 (*.f32 ux (/.f32 (fma.f32 (*.f32 ux (/.f32 (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal -2 binary32) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32))))) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal 2 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32))))) maxCos (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))))) maxCos (neg.f32 (-.f32 (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 2 binary32)))))) maxCos (/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32))))
(* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))
(neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (* maxCos (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2))))) (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))))
(-.f32 (*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos (+ (* -1 (* maxCos (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (* -1 (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))))))
(fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 (/.f32 (neg.f32 (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 (-.f32 (*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))) maxCos (-.f32 (*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) maxCos (neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos (+ (* -1 (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (* maxCos (+ (* -1 (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (/ (* maxCos (* ux (- (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* ux (- (* -2 (/ ux (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (+ 1 ux)))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux maxCos) (-.f32 (/.f32 (neg.f32 (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 (-.f32 (*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux))))) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (neg.f32 (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 (-.f32 (*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux))))) maxCos (neg.f32 (-.f32 (*.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) maxCos (neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #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)))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux (*.f32 ux maxCos))
(- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ 1 (* maxCos (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(-.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ 1 (* maxCos (- (* maxCos (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(-.f32 (fma.f32 (fma.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))) maxCos (neg.f32 (neg.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) maxCos #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux)))) (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(-.f32 (fma.f32 (fma.f32 (fma.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))) (+.f32 #s(literal 1 binary32) ux)))) maxCos (neg.f32 (neg.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux))))))) maxCos (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) maxCos #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 ux ux) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(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)))
(- 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)
(-.f32 (fma.f32 (-.f32 (fma.f32 (neg.f32 maxCos) ux #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) ux)) maxCos #s(literal 2 binary32)) ux)
(* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (* maxCos (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))
(*.f32 #s(literal -1 binary32) (fma.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(+ (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))) (* maxCos (+ (* -1 (* maxCos (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux))))) (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))))))
(fma.f32 (fma.f32 (neg.f32 maxCos) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) maxCos (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(+ (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))) (* maxCos (+ (* -1 (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (* maxCos (+ (* -1 (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux))))) (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))))))))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))) (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))))) maxCos (neg.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) maxCos (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #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) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) #s(literal 1/4 binary32)) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (* -1 (/ (pow ux 3) (+ 1 ux))) (/ (* ux (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (+ 1 ux)))) (* -1/2 (/ (* (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))) (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (+ (* -2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux)))) (/ (* ux (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2)))) (+ 1 ux)))) (* 1/4 (/ (pow (- (+ (* -2 (/ (* ux (- 1 ux)) (+ 1 ux))) (/ (* ux (- (pow ux 2) 1)) (+ 1 ux))) (/ (* ux (* (- 1 ux) (- (pow ux 2) 1))) (pow (+ 1 ux) 2))) 2) (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))) (sqrt (/ 1 (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (+ 1 ux)))))))
(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 (*.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #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) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) #s(literal 1/4 binary32)) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux))))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))) #s(literal -1/2 binary32)) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux)))) (+.f32 #s(literal 1 binary32) ux)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #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) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) #s(literal 1/4 binary32)) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))))))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (pow maxCos 2) ux)
(*.f32 (*.f32 maxCos maxCos) ux)
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (* 2 (/ 1 maxCos)))))
(*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))
(*.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))) ux) (*.f32 maxCos maxCos))
(* 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 (-.f32 (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)) (/.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 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 (-.f32 (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))) (/.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)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(/ 1 (* maxCos ux))
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (/ 1 ux)) maxCos)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) maxCos)) maxCos)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (+ (* -1 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (pow maxCos 2))) (/ 1 ux))) maxCos)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) maxCos)) maxCos)
(/ (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) (- (pow ux 2) 1)) (* (pow maxCos 3) (pow ux 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) maxCos)) (+ (* -1 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (pow maxCos 2))) (+ (* 2 (/ (- (/ 1 (pow ux 3)) (+ (* 2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (/ 1 ux))) (* (pow maxCos 3) ux))) (/ 1 ux))))) maxCos)
(/.f32 (-.f32 (-.f32 (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux))) ux) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) maxCos)) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 ux ux)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (pow.f32 maxCos #s(literal 3 binary32))))) maxCos)
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (* 2 (/ 1 maxCos)))))
(*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) maxCos)
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (* -1 (/ (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux))) (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 ux (-.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) ux)))) (*.f32 maxCos maxCos)))) maxCos)
(* maxCos (+ ux (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (* -1 (/ (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux))) (pow maxCos 2))) (+ (* 2 (/ 1 maxCos)) (/ (* (+ 1 ux) (- ux (+ (* -1 (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux)) (/ 1 ux)))) (* (pow maxCos 3) ux)))))))
(*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 (fma.f32 (/.f32 (-.f32 ux (-.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) ux)))) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (/.f32 #s(literal 2 binary32) maxCos)) (/.f32 (-.f32 ux (-.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) ux)))) (*.f32 maxCos 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 maxCos)) (* -1 (/ (* ux (- 1 ux)) maxCos))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (pow ux 2))))
(*.f32 (-.f32 (-.f32 (*.f32 (/.f32 ux maxCos) #s(literal -2 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (-.f32 (*.f32 ux ux) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (/ 1 (pow maxCos 2)) (/ (* (- 1 ux) (- (pow ux 2) 1)) (* (pow maxCos 3) ux))) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (+ (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux)) (pow ux 2))))))
(*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (*.f32 ux ux)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(*.f32 (-.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)) (*.f32 ux ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) ux))
(neg.f32 (*.f32 (*.f32 maxCos maxCos) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) 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 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (pow ux 2))))
(*.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) maxCos)) (+ (* -1 (/ (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux))) (pow maxCos 2))) (+ (* -1 (/ (- (/ (* (- 1 ux) (- (pow ux 2) 1)) ux) (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) ux)) (pow maxCos 3))) (pow ux 2)))))
(*.f32 (-.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) ux))) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)) (*.f32 maxCos maxCos))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) (*.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 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 ux ux))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) (*.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 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (/ (* (- 1 ux) (- (pow ux 2) 1)) ux) (/ (* (+ 1 ux) (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) ux))) (* 1/2 (/ (* (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (+ (* -2 (- 1 ux)) (pow ux 2)) (+ 1 (/ (* (+ 1 ux) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) ux)))) (* 1/4 (/ (pow (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ (* -2 ux) (* -1 (* ux (- 1 ux)))) (* -1 (* ux (+ 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 ux ux))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))))) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))) ux)))) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 ux ux))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) ux) #s(literal 1 binary32))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))) (*.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 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(* maxCos (+ ux (/ 1 maxCos)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(* (pow maxCos 2) (+ ux (* -1 (/ (- (* 2 ux) 2) maxCos))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (* -1 (/ (- (+ (* -1 (/ ux maxCos)) (* 2 ux)) 2) maxCos))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(neg.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.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 ux maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.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)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (/ (- (+ (* -1 (/ (+ 1 ux) (* maxCos (pow ux 2)))) (/ 2 (* maxCos (pow ux 2)))) (/ 1 ux)) maxCos))
(neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3)))) maxCos))) maxCos)) (/ 1 ux)) maxCos))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32))))) maxCos)) maxCos)) (/.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2))))) (* -1 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) (- (pow ux 2) 1)) (pow ux 2))) (* 2 (/ (+ (* -2 (/ (+ (* -1 (/ (+ 1 ux) (pow ux 2))) (* 2 (/ 1 (pow ux 2)))) ux)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3)))) ux))) maxCos)) (* -1 (/ (- (pow ux 2) 1) (pow ux 3))))) maxCos))) maxCos)) (/ 1 ux)) maxCos))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux) #s(literal -2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32))))) ux) #s(literal 2 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux ux)))) maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) maxCos)) maxCos)) (/.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 2 (* -1 (+ 1 ux))) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 2 (+ (* -1 (+ 1 ux)) (* -1 (/ (- (pow ux 2) 1) (* maxCos ux))))) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) (* maxCos ux))) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) maxCos) ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) maxCos))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -1 (+ 1 ux)) (* -1 (/ (+ (* -1 (- (* -1 (/ (- (pow ux 2) 1) ux)) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux))) (/ (* (+ 1 ux) (- (* -1 (/ (- (pow ux 2) 1) ux)) (/ (* (+ 1 ux) (+ 2 (* -1 (+ 1 ux)))) ux))) (* maxCos ux))) maxCos)))) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (-.f32 (neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) ux)))) maxCos)) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 maxCos) (*.f32 #s(literal -1 binary32) (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (neg.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.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 (/ (- (* -1 (/ (- 1 (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux))))) maxCos)) (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))))) maxCos) (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.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 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) ux))) maxCos))) (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux))))) maxCos)) (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))) ux)))) maxCos)) (neg.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))))) maxCos) (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.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 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (*.f32 #s(literal 2 binary32) ux)) maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) (* maxCos ux))) (pow ux 2)) (/ (* ux (+ 1 ux)) maxCos)))
(*.f32 (-.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) (* maxCos ux)))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* maxCos ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 ux maxCos))) (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) maxCos)))) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) (* maxCos ux)))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* maxCos ux)))) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (neg.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux))) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) maxCos)))) (neg.f32 (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))) maxCos) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux)))) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* 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 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* 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 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.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)))) ux))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- (* -1 (/ (* (- 1 ux) (- (pow ux 2) 1)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) ux)))) (* 1/2 (/ (* (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (* -1 (- (* -1 (/ (+ (* -1 (* ux (- (pow ux 2) 1))) (* 2 (* ux (- 1 ux)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux)))) ux)))) (* 1/4 (/ (pow (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* ux (+ 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (* (pow ux 2) (- 1 ux)))) ux)) (* 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) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.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)))) ux)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))))) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux))) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))) ux))))) (*.f32 ux maxCos)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)))))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)) maxCos)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))

rewrite266.0ms (2.4%)

Memory
-7.3MiB live, 302.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078501
0131454
1451381
23456373
09959368
Stop Event
iter limit
node limit
iter limit
Counts
26 → 713
Calls
Call 1
Inputs
(-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 uy #s(literal 2 binary32))
(*.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 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 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 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #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 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 ux) (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(fma.f32 maxCos ux #s(literal 1 binary32))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(*.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32))))) (neg.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) maxCos)))
(/.f32 (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (*.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) maxCos)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))) (/.f32 (*.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))))
(-.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal -2 binary32) maxCos))
(fma.f32 (*.f32 ux (-.f32 maxCos #s(literal 1 binary32))) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) maxCos))
(fma.f32 (neg.f32 maxCos) #s(literal -2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) maxCos) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 #s(literal -2 binary32) (neg.f32 maxCos) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos))
(fma.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 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (*.f32 #s(literal 2 binary32) maxCos))
(fma.f32 maxCos #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32))))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 2 binary32) maxCos) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(+.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) maxCos))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) maxCos (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))
(*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 uy (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 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 uy #s(literal 2 binary32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) uy))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.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) ux)) (fma.f32 ux maxCos (-.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) ux)) (fma.f32 ux maxCos (-.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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #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) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.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) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 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) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 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) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
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(/.f32 (neg.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 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)))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 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))
(*.f32 (sqrt.f32 (-.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))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.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) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 ux maxCos #s(literal 1 binary32))) (sqrt.f32 (fma.f32 ux maxCos #s(literal 1 binary32))))
(*.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 ux maxCos #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 ux maxCos #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))))
(/.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux maxCos #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (*.f32 ux maxCos))))
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos)) (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (fma.f32 ux maxCos #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal -1 binary32))))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux maxCos #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) #s(literal 1 binary32))
(fma.f32 maxCos ux #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos)) (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 ux maxCos) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 ux maxCos))
(exp.f32 (log1p.f32 (*.f32 ux maxCos)))

eval179.0ms (1.6%)

Memory
17.8MiB live, 299.8MiB allocated
Compiler

Compiled 74 623 to 6 944 computations (90.7% saved)

prune104.0ms (1%)

Memory
-31.7MiB live, 168.7MiB allocated
Pruning

64 alts after pruning (59 fresh and 5 done)

PrunedKeptTotal
New1 120361 156
Fresh212344
Picked235
Done123
Total1 144641 208
Accuracy
99.6%
Counts
1 208 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.4%
(/.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)))))
20.8%
(/.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 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
93.3%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
48.1%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
97.3%
(*.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 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
92.6%
(*.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 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
97.4%
(*.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 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
92.6%
(*.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 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
92.5%
(*.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 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
17.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
23.0%
(*.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 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))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 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))))))))))
23.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
57.3%
(*.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))))))
58.1%
(*.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)) #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 uy #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))))))
56.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
56.6%
(*.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))))))
30.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 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))))))
8.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (-.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))))
59.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) ux) (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))) ux) (-.f32 (*.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)))))))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
19.7%
(*.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)))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
64.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos)) (*.f32 maxCos maxCos)))) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
76.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
20.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
29.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
85.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
93.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
36.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) (*.f32 maxCos maxCos))) ux))))
40.6%
(*.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 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos))) (*.f32 maxCos maxCos))) ux))))
51.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (*.f32 #s(literal 2 binary32) ux)) maxCos)) ux) (*.f32 maxCos maxCos))) ux))))
19.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))) ux))))
84.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
43.2%
(*.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)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)) (*.f32 ux ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) (*.f32 maxCos maxCos))))))
42.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
57.2%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(approx (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) uy))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
79.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
76.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
48.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
48.1%
(*.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 (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))))))
26.6%
(*.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))))
48.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (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))))))
48.8%
(*.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 (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)))))))
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 (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))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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 ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
25.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
48.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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))))))
48.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
25.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
62.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
3.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
Compiler

Compiled 5 737 to 3 558 computations (38% saved)

simplify142.0ms (1.3%)

Memory
33.0MiB live, 146.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
cost-diff32
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.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))))))
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) ux) maxCos))))
cost-diff416
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
cost-diff0
(*.f32 (PI.f32) uy)
cost-diff0
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
cost-diff480
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080986
0130942
1238942
2445938
31328916
45642902
08354874
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))
(*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)
(-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
#s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(neg.f32 ux)
ux
(-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (/.f32 maxCos ux) #s(literal -2 binary32))
(/.f32 maxCos ux)
maxCos
#s(literal -2 binary32)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) uy)
(PI.f32)
uy
#s(literal 2 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))
(*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
(-.f32 #s(literal 2 binary32) ux)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))
#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 (-.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) ux) maxCos))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 maxCos #s(literal 2 binary32))))) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 maxCos #s(literal 2 binary32))))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 maxCos #s(literal 2 binary32))))) ux))
(*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)
(*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 maxCos #s(literal 2 binary32))))) ux)
(-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.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) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 maxCos #s(literal 2 binary32)))))
#s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
#s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 maxCos #s(literal 2 binary32))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #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)) ux (*.f32 maxCos #s(literal 2 binary32)))
(neg.f32 ux)
ux
(-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (/.f32 maxCos ux) #s(literal -2 binary32))
(/.f32 maxCos ux)
maxCos
#s(literal -2 binary32)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) uy)
(PI.f32)
uy
#s(literal 2 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))
(*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux)
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
(-.f32 #s(literal 2 binary32) ux)
ux
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #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) ux) maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #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) ux) maxCos)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (fma.f32 maxCos ux #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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))
#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) ux) maxCos)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(/.f32 (-.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 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
#s(literal 1 binary32)
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)

localize225.0ms (2.1%)

Memory
-10.0MiB live, 226.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.34994125976844204
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy0.39291000976844204
(*.f32 (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)))))
accuracy1.9432908705332594
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy0.4140625
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.4186325195368841
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
accuracy0.46635407959782027
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
accuracy13.32105440409528
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
accuracy0.39291000976844204
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.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))))))
accuracy0.4186325195368841
(*.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)))
accuracy6.189582666324047
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy13.32105440409528
(-.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))))
accuracy0.25390625
(*.f32 (PI.f32) uy)
accuracy0.39291000976844204
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
accuracy1.959582996544319
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
accuracy6.189582666324047
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
accuracy0.14453125
(*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)
accuracy0.20523250917078512
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.25390625
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.39291000976844204
(*.f32 (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 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
Samples
117.0ms244×0valid
54.0ms12×1valid
Compiler

Compiled 1 656 to 140 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 33.0ms (32.8% of total)
ival-sin: 23.0ms (22.9% of total)
ival-sub: 11.0ms (10.9% of total)
ival-add: 11.0ms (10.9% of total)
ival-div: 5.0ms (5% of total)
ival-sqrt: 5.0ms (5% of total)
ival-sinu: 5.0ms (5% of total)
ival-pow2: 3.0ms (3% of total)
adjust: 1.0ms (1% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
-8.6MiB live, 78.7MiB allocated
Counts
27 → 127
Calls
Call 1
Inputs
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) uy)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 uy #s(literal 2 binary32))
(*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
Outputs
(* 2 maxCos)
(+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (pow (- maxCos 1) 2))
(* 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 (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -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) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 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 (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* uy (PI))
(* 2 uy)
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
ux
(+ ux (* -1 (* maxCos (* ux (- 2 (* 2 (/ 1 ux)))))))
(+ ux (* maxCos (+ (* -1 (* ux (- 2 (* 2 (/ 1 ux))))) (* maxCos ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) 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))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
2
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* (pow maxCos 2) ux)
(* (pow maxCos 2) (+ ux (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos)))
(* (pow maxCos 2) (+ ux (+ (/ ux (pow maxCos 2)) (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* (pow maxCos 2) (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))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ ux (* -1 (/ (+ (* -1 (* ux (- (* 2 (/ 1 ux)) 2))) (* -1 (/ ux maxCos))) maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (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))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
Calls

9 calls:

TimeVariablePointExpression
25.0ms
maxCos
@-inf
((* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) uy) 2) (* (PI) uy) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (- 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)))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* ux maxCos) (- 1 ux)) (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux))) (* uy (* 2 (sqrt (PI)))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
7.0ms
ux
@-inf
((* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) uy) 2) (* (PI) uy) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (- 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)))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* ux maxCos) (- 1 ux)) (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux))) (* uy (* 2 (sqrt (PI)))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
3.0ms
ux
@0
((* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) uy) 2) (* (PI) uy) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (- 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)))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* ux maxCos) (- 1 ux)) (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux))) (* uy (* 2 (sqrt (PI)))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
3.0ms
ux
@inf
((* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) uy) 2) (* (PI) uy) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (- 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)))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* ux maxCos) (- 1 ux)) (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux))) (* uy (* 2 (sqrt (PI)))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
2.0ms
maxCos
@inf
((* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) uy) 2) (* (PI) uy) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (- 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)))))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux)))))) (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* ux maxCos) (- 1 ux)) (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux maxCos) (- 1 ux))) (* uy (* 2 (sqrt (PI)))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))

simplify162.0ms (1.5%)

Memory
3.8MiB live, 229.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05823026
119212853
268522805
081942669
Stop Event
iter limit
node limit
Counts
127 → 126
Calls
Call 1
Inputs
(* 2 maxCos)
(+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (pow (- maxCos 1) 2))
(* 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 (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -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) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 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 (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* uy (PI))
(* 2 uy)
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
ux
(+ ux (* -1 (* maxCos (* ux (- 2 (* 2 (/ 1 ux)))))))
(+ ux (* maxCos (+ (* -1 (* ux (- 2 (* 2 (/ 1 ux))))) (* maxCos ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) 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))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
2
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* (pow maxCos 2) ux)
(* (pow maxCos 2) (+ ux (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos)))
(* (pow maxCos 2) (+ ux (+ (/ ux (pow maxCos 2)) (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* (pow maxCos 2) (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))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ ux (* -1 (/ (+ (* -1 (* ux (- (* 2 (/ 1 ux)) 2))) (* -1 (/ ux maxCos))) maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (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))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
Outputs
(* 2 maxCos)
(*.f32 #s(literal 2 binary32) maxCos)
(+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2)))
(fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.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 #s(literal 2 binary32) uy) (PI.f32))) (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 -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
1
#s(literal 1 binary32)
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))) ux)
(+ 1 (* 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 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))) ux)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* ux (pow (- maxCos 1) 2))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(* ux (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (/.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 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(*.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos)
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(neg.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* (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))
(* -1 (* ux (+ (* -2 (/ maxCos ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 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 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(* -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 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (/.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 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.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 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.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))))) ux)) (neg.f32 ux))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(* -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))))
(fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (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)
(* (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 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.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 #s(literal 2 binary32) uy) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 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 #s(literal 2 binary32) uy) (PI.f32))
(* 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 #s(literal 2 binary32) uy) (PI.f32)))
(* 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 #s(literal 2 binary32) uy) (PI.f32)))
(* uy (PI))
(*.f32 (PI.f32) uy)
(* 2 uy)
(*.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 #s(literal 2 binary32) uy) (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
ux
(+ ux (* -1 (* maxCos (* ux (- 2 (* 2 (/ 1 ux)))))))
(-.f32 ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos))
(+ ux (* maxCos (+ (* -1 (* ux (- 2 (* 2 (/ 1 ux))))) (* maxCos ux))))
(fma.f32 (-.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux)) maxCos ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (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 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 (/.f32 (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 #s(literal 2 binary32) uy) (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (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 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.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))
(-.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 #s(literal 2 binary32) ux #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 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) ux (*.f32 (*.f32 (neg.f32 maxCos) ux) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(fma.f32 (-.f32 #s(literal 2 binary32) ux) ux (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (-.f32 #s(literal 2 binary32) ux) ux (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) ux (*.f32 (*.f32 (neg.f32 maxCos) ux) ux)) maxCos))
(- 2 ux)
(-.f32 #s(literal 2 binary32) ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(-.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos #s(literal 2 binary32)) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
(-.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (*.f32 maxCos ux)) maxCos #s(literal 2 binary32)) ux)
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) maxCos))
(* (pow maxCos 2) ux)
(*.f32 (*.f32 maxCos maxCos) ux)
(* (pow maxCos 2) (+ ux (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos)))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) ux ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (+ (/ ux (pow maxCos 2)) (/ (* ux (- (* 2 (/ 1 ux)) 2)) maxCos))))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) ux (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) ux)) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (/.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 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (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 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) 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 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(* (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 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) maxCos) ux) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) 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) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos 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 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ ux (* -1 (/ (+ (* -1 (* ux (- (* 2 (/ 1 ux)) 2))) (* -1 (/ ux maxCos))) maxCos))))
(*.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux (/.f32 ux maxCos)) maxCos) ux) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) 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 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (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 #s(literal 2 binary32) uy) (PI.f32)))) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.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))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) 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 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) ux)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) 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)) maxCos) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 ux (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) maxCos) (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 ux ux))) maxCos)))

rewrite208.0ms (1.9%)

Memory
24.7MiB live, 298.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080471
0130418
1450414
23191414
09632412
Stop Event
iter limit
node limit
iter limit
Counts
27 → 368
Calls
Call 1
Inputs
(*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (PI.f32) uy)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 uy #s(literal 2 binary32))
(*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)
#s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
Outputs
(*.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 maxCos ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32)) ux)
(*.f32 #s(literal -1 binary32) (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 maxCos ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux))
(*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 maxCos ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux))
(*.f32 (neg.f32 ux) (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 maxCos ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 ux (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 maxCos ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) (/.f32 maxCos ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (neg.f32 ux)) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
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(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
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(*.f32 (PI.f32) uy)
(*.f32 uy (PI.f32))
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(fma.f32 maxCos ux (*.f32 maxCos (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
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(fma.f32 ux maxCos (*.f32 maxCos (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
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(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 ux (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (*.f32 ux ux) (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 ux ux) (*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(+.f32 (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 ux ux)) (*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(+.f32 (*.f32 (*.f32 ux ux) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 (*.f32 ux ux) (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))

eval57.0ms (0.5%)

Memory
-16.5MiB live, 144.2MiB allocated
Compiler

Compiled 23 793 to 2 484 computations (89.6% saved)

prune99.0ms (0.9%)

Memory
-2.4MiB live, 234.8MiB allocated
Pruning

71 alts after pruning (64 fresh and 7 done)

PrunedKeptTotal
New41719436
Fresh94554
Picked235
Done145
Total42971500
Accuracy
99.6%
Counts
500 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.4%
(/.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)))))
20.8%
(/.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 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
93.3%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
48.1%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
97.3%
(*.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 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
92.6%
(*.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 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
97.4%
(*.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 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
92.6%
(*.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 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
92.5%
(*.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 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
18.0%
(*.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 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
25.0%
(*.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 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))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 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))))))))))
23.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
57.3%
(*.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))))))
58.1%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
56.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
56.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) ux)) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
56.6%
(*.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))))))
30.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 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))))))
7.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (-.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos #s(literal 1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) ux) (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux))))
98.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
25.7%
(*.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 (/.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal -2 binary32))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
93.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
64.0%
(*.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 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos)) (*.f32 maxCos maxCos)))) ux))))
76.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
97.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) #s(approx (* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (-.f32 ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos))))) ux))))
29.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
84.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
93.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
37.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) (*.f32 maxCos maxCos))) ux))))
51.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (*.f32 #s(literal 2 binary32) ux)) maxCos)) ux) (*.f32 maxCos maxCos))) ux))))
45.2%
(*.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
93.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
85.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
42.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)) (*.f32 ux ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) (*.f32 maxCos maxCos))))))
43.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
57.2%
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(approx (* (pow (PI) 1/6) (* (* (sqrt (PI)) 2) uy)) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) uy))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
76.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy)) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
76.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
76.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
79.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
62.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
76.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
39.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux))))
39.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
48.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))))
28.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
48.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (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))))))
48.8%
(*.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 (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)))))))
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) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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 ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
24.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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))))))
49.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
48.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (+ (/ (- 1 ux) maxCos) ux) maxCos) #s(literal 1 binary32)))))))
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 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
48.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
49.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
48.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
25.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
11.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))))
79.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
Compiler

Compiled 9 684 to 3 059 computations (68.4% saved)

regimes434.0ms (4%)

Memory
26.8MiB live, 584.3MiB allocated
Counts
138 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (+ (/ (- 1 ux) maxCos) ux) maxCos) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 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 (fma.f32 #s(literal -1 binary32) ux (*.f32 ux maxCos)) #s(literal 1 binary32)) #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 (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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (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))))))
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(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 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))))))))))
(*.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 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))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 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 (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 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (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)))))
(*.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.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))))))
(/.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)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (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 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))) ux) (-.f32 (*.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)))))))))
(*.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 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
Outputs
(*.f32 (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 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
Calls

11 calls:

57.0ms
(-.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))))
55.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
36.0ms
uy
36.0ms
(*.f32 uy #s(literal 2 binary32))
36.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Results
AccuracySegmentsBranch
98.4%1ux
98.4%1uy
98.4%1maxCos
98.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
98.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.4%1(*.f32 uy #s(literal 2 binary32))
98.4%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
98.4%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
98.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes309.0ms (2.8%)

Memory
-12.5MiB live, 423.0MiB allocated
Counts
97 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (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 (neg.f32 (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.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 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (*.f32 #s(literal 2 binary32) ux)) maxCos)) ux) (*.f32 maxCos 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 (+.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 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) 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) (+.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 (sin.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) 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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)) (*.f32 ux ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos))) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) ux) (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (neg.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) ux) (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(*.f32 #s(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)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
Calls

11 calls:

41.0ms
maxCos
35.0ms
uy
29.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
28.0ms
ux
25.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Results
AccuracySegmentsBranch
98.4%1ux
98.4%1uy
98.4%1maxCos
98.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
98.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.4%1(*.f32 uy #s(literal 2 binary32))
98.4%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
98.4%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
98.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes298.0ms (2.7%)

Memory
34.8MiB live, 424.0MiB allocated
Counts
90 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (+ (/ (- 1 ux) maxCos) ux) maxCos) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.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 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (*.f32 #s(literal 2 binary32) ux)) maxCos)) ux) (*.f32 maxCos 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 (+.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 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) 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) (+.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 (sin.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (*.f32 (+.f32 (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) 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))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (*.f32 (-.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)) (*.f32 ux ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos))) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ 1 (/ (- (neg ux) (+ (* maxCos ux) 1)) (- (* ux ux) (pow (+ (* maxCos ux) 1) 2)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos maxCos))) ux) (neg.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) maxCos)))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux (*.f32 #s(literal -2 binary32) maxCos))) ux))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) #s(approx (* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (-.f32 ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos))))) ux))))
Calls

11 calls:

52.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
30.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
26.0ms
maxCos
25.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
24.0ms
ux
Results
AccuracySegmentsBranch
97.8%1ux
97.8%1uy
97.8%1maxCos
97.8%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
97.8%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.8%1(*.f32 uy #s(literal 2 binary32))
97.8%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
97.8%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
97.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes180.0ms (1.7%)

Memory
-7.6MiB live, 345.7MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (+ (/ (- 1 ux) maxCos) ux) maxCos) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 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 (fma.f32 #s(literal -1 binary32) ux (*.f32 ux maxCos)) #s(literal 1 binary32)) #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 (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) (*.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(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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #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 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos 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 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) #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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- 2 (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (-.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))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (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) 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 #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 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
Calls

11 calls:

20.0ms
(*.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))))))
19.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
17.0ms
maxCos
16.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
16.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
93.4%1ux
93.4%1uy
93.4%1maxCos
93.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
93.4%1(*.f32 uy #s(literal 2 binary32))
93.4%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
93.4%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
93.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
93.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
93.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
93.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes135.0ms (1.2%)

Memory
-16.5MiB live, 306.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (+ (/ (- 1 ux) maxCos) ux) maxCos) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 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 (fma.f32 #s(literal -1 binary32) ux (*.f32 ux maxCos)) #s(literal 1 binary32)) #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 (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) (*.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(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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #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 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos 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 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) #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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 #s(literal 2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #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))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
Calls

11 calls:

13.0ms
(*.f32 uy #s(literal 2 binary32))
12.0ms
uy
12.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
12.0ms
ux
12.0ms
maxCos
Results
AccuracySegmentsBranch
93.4%1maxCos
93.4%1ux
93.4%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
93.4%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
93.4%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
93.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
93.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
93.4%1uy
93.4%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
93.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
93.4%1(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes170.0ms (1.6%)

Memory
2.0MiB live, 244.1MiB allocated
Accuracy

Total -24.6b remaining (-330.5%)

Threshold costs -24.6b (-330.5%)

Counts
35 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (neg.f32 (*.f32 maxCos maxCos)) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (+ (/ (- 1 ux) maxCos) ux) maxCos) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 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 (fma.f32 #s(literal -1 binary32) ux (*.f32 ux maxCos)) #s(literal 1 binary32)) #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 (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) (*.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(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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #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 (*.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) 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 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos 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 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) #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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
Calls

11 calls:

54.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
26.0ms
maxCos
15.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
10.0ms
(*.f32 uy #s(literal 2 binary32))
10.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
76.8%1maxCos
76.8%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
76.8%1ux
76.8%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.8%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.8%1uy
76.8%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
76.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
76.8%1(*.f32 uy #s(literal 2 binary32))
76.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
76.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

simplify85.0ms (0.8%)

Memory
-5.1MiB live, 73.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086314
1140314
2198314
3264313
4385313
5540313
6679313
7870313
81011313
91110313
101168313
111191313
121195313
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) #s(approx (* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (-.f32 ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos))))) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (neg.f32 ux) (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) (*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 maxCos ux) #s(literal -2 binary32))) ux))) ux))) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 #s(literal -2 binary32) maxCos))) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (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 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) #s(approx (* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (-.f32 ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos))))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) #s(approx (- (* (pow (- maxCos 1) 2) ux) (* -2 maxCos)) #s(approx (* (neg ux) (- (* (/ maxCos ux) -2) (pow (- maxCos 1) 2))) (-.f32 ux (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) maxCos))))) ux))) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) (-.f32 #s(literal 2 binary32) ux)) ux))))

soundness821.0ms (7.6%)

Memory
34.7MiB live, 388.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04982529
116132377
258502253
082312134
04192267
113692135
252531979
082391886
065380
0111328
1371312
22923302
08629284
05823026
119212853
268522805
081942669
0163814803
1574914206
0805713667
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 611 to 317 computations (48.1% saved)

preprocess112.0ms (1%)

Memory
-6.5MiB live, 94.9MiB allocated
Remove

(negabs uy)

Compiler

Compiled 1 336 to 628 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...