UniformSampleCone, x

Time bar (total: 11.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze262.0ms (2.3%)

Memory
-11.8MiB live, 269.7MiB 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%)

Memory
21.1MiB live, 2 056.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 945.0ms
ival-mult: 227.0ms (24% of total)
const: 152.0ms (16.1% of total)
ival-<=: 128.0ms (13.5% of total)
ival-cosu: 125.0ms (13.2% of total)
ival-sqrt: 125.0ms (13.2% of total)
ival-sub: 104.0ms (11% of total)
ival-add: 39.0ms (4.1% of total)
ival-and: 29.0ms (3.1% of total)
exact: 10.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain254.0ms (2.3%)

Memory
34.1MiB live, 266.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1907(0.004518191795796156 9.109665244366738e-10 1.08288643204583e-35)8(0.005381117109209299 1.1606194902924472e-6 1.375694219044367e-38)(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
11(0.0005265843356028199 0.7563173174858093 2.7176813431971456e-31)1(1.0132389860473268e-7 0.7662709951400757 0.3480997085571289)(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
00-0-(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
00-0-maxCos
00-0-(*.f32 ux maxCos)
00-0-ux
00-0-(*.f32 (cos.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-(+.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))))cancellation18919
cos.f32(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))sensitivity12
Confusion
Predicted +Predicted -
+18512
-455
Precision
0.9788359788359788
Recall
0.9390862944162437
Confusion?
Predicted +Predicted MaybePredicted -
+185120
-4748
Precision?
0.9471153846153846
Recall?
1.0
Freqs
test
numberfreq
067
1188
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms498×0valid
3.0ms14×1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pi: 32.0ms (48% of total)
ival-mult: 14.0ms (21% of total)
ival-cosu: 8.0ms (12% of total)
ival-sub: 5.0ms (7.5% of total)
ival-add: 3.0ms (4.5% of total)
ival-sqrt: 3.0ms (4.5% of total)
adjust: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess276.0ms (2.5%)

Memory
-3.3MiB live, 224.8MiB allocated
Algorithm
egg-herbie
Rules
18 030×lower-fma.f64
18 030×lower-fma.f32
3 016×lower-*.f64
3 006×lower-*.f32
2 344×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064238
1230232
2836232
32868232
46811228
01625
02725
15925
216325
353325
4149225
5343125
6761625
0805922
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Symmetry

(abs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(*.f32 (cos.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)

simplify221.0ms (2%)

Memory
-4.1MiB live, 184.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Rules
18 030×lower-fma.f64
18 030×lower-fma.f32
3 016×lower-*.f64
3 006×lower-*.f32
2 344×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016108
027108
159108
2163108
3533108
41492108
53431108
67616108
0805996
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.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))))))
(cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize62.0ms (0.6%)

Memory
13.0MiB live, 56.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.14291000976844204
(*.f32 (cos.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))))))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy14.089420309012157
(-.f32 #s(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
51.0ms249×0valid
1.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-cosu: 29.0ms (67.4% of total)
ival-mult: 7.0ms (16.3% of total)
ival-sub: 2.0ms (4.7% of total)
ival-sqrt: 2.0ms (4.7% of total)
ival-pi: 1.0ms (2.3% of total)
ival-add: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB 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 (cos.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))))))
(cos.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)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 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)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
ux
@-inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
ux
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* 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)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* 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)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* 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)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify212.0ms (1.9%)

Memory
-14.7MiB live, 178.0MiB allocated
Algorithm
egg-herbie
Rules
6 540×lower-*.f64
6 540×lower-*.f32
6 330×lower-fma.f64
6 330×lower-fma.f32
2 936×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04062229
114172116
262622098
080821994
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)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 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)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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 (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
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(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* (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))))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* ux (* (cos (* 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))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* (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)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))
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(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
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(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
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(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 maxCos ux))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite242.0ms (2.2%)

Memory
18.4MiB live, 345.8MiB allocated
Rules
5 826×lower-fma.f64
5 826×lower-fma.f32
3 868×lower-*.f64
3 858×lower-*.f32
2 592×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02754
111554
298754
0865350
Stop Event
iter limit
node limit
iter limit
Counts
6 → 494
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 (cos.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))))))
(cos.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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
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(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.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) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 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) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos 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 ux (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #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 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(+.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.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 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.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 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (neg.f32 (*.f32 #s(literal -2 binary32) uy)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 uy)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal -2 binary32) uy) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 uy) (*.f32 #s(literal -2 binary32) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (neg.f32 (*.f32 #s(literal -2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 uy (neg.f32 (*.f32 #s(literal -2 binary32) (PI.f32))))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(neg.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))

eval154.0ms (1.4%)

Memory
13.4MiB live, 201.4MiB allocated
Compiler

Compiled 35 115 to 3 649 computations (89.6% saved)

prune67.0ms (0.6%)

Memory
-44.3MiB live, 106.5MiB allocated
Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New63536671
Fresh000
Picked101
Done000
Total63636672
Accuracy
84.6%
Counts
672 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (cos.f32 (+.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
7.5%
(/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
13.9%
(/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (+.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
14.5%
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
13.0%
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal 2 binary32))
22.3%
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
20.6%
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
19.7%
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (-.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
24.6%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
46.4%
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
39.0%
(*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
54.8%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
38.1%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
7.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32))) (fma.f32 (-.f32 #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))) (+.f32 (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)))))))
38.0%
(*.f32 (cos.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))))
10.1%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (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 ux #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 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (*.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)))))))
39.1%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
54.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (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))))))
55.3%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 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))))))
37.3%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.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))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
54.6%
(*.f32 (cos.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 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (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))))))
54.9%
(*.f32 (cos.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))))))
37.1%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
53.5%
(*.f32 (cos.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))))))
56.1%
(*.f32 (cos.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))))))
55.0%
(*.f32 (cos.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))))))
25.4%
(*.f32 (cos.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))))))
38.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
6.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
40.1%
(*.f32 (cos.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 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))))))
20.6%
(*.f32 (cos.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)))))
2.5%
(*.f32 (cos.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))))
55.4%
(*.f32 (cos.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))))
68.8%
(*.f32 (cos.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)))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
45.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
Compiler

Compiled 2 686 to 1 536 computations (42.8% saved)

simplify137.0ms (1.2%)

Memory
25.4MiB live, 166.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
cost-diff0
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
cost-diff1
(+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
cost-diff1
(-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 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))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(/.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))))
cost-diff1
(-.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))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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)))))
Rules
5 310×lower-fma.f64
5 304×lower-fma.f32
3 466×lower-*.f64
3 428×lower-*.f32
2 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069850
0121820
1246820
2633820
32271820
46369820
08021798
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.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)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.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 (cos.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))))))
(cos.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) 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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 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))))))
(cos.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) (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 #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))))
#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 (-.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 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))
(pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
(+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
Outputs
(*.f32 (cos.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)))))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.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)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos 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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.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) ux) maxCos)))))
(sqrt.f32 (fma.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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(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 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #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 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) (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) 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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 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 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.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) (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)))))
(sqrt.f32 (fma.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.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))))
(fma.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) #s(literal 1 binary32))
#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 (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal -1 binary32))))
(/.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) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))
(pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 ux (*.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)
(*.f32 ux maxCos)
(*.f32 maxCos ux)
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
(+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))

localize256.0ms (2.3%)

Memory
-8.5MiB live, 274.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.5784199347228915
(+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
accuracy4.447418921290372
(cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
accuracy4.7065679630277355
(cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
accuracy4.800038697742165
(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.38671875
(/.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))))
accuracy0.40625
(*.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)))
accuracy14.089420309012157
(-.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))))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.40625
(*.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)))
accuracy0.441406250020994
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
accuracy14.089420309012157
(-.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))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.215611620627633
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy14.089420309012157
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy28.438429718737915
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy0.14291000976844204
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3678512695368841
(*.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))
accuracy2.140415443769902
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
Samples
160.0ms246×0valid
8.0ms10×1valid
Compiler

Compiled 744 to 55 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 58.0ms (40.7% of total)
ival-add: 37.0ms (25.9% of total)
ival-cos: 13.0ms (9.1% of total)
ival-sub: 9.0ms (6.3% of total)
ival-div: 6.0ms (4.2% of total)
ival-pow2: 5.0ms (3.5% of total)
ival-cosu: 4.0ms (2.8% of total)
ival-asin: 4.0ms (2.8% of total)
ival-sqrt: 3.0ms (2.1% of total)
adjust: 2.0ms (1.4% of total)
ival-pi: 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)

series99.0ms (0.9%)

Memory
7.5MiB live, 152.1MiB allocated
Counts
27 → 208
Calls
Call 1
Inputs
(*.f32 (cos.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)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(-.f32 #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 (-.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 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 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
(+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(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))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.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) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))
(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- (+ 2 (* ux (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(* ux (- (+ 2 (* ux (- (+ (* ux (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(* ux (- (+ 2 (* ux (- (+ (* ux (- (+ (* ux (* (- 1 maxCos) (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(+ 1 (* ux (- (+ maxCos (* ux (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- maxCos 1))))) 1)))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ (* -1 (* ux (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- maxCos 1)))))) (* -1 (pow (- 1 maxCos) 2))) (* (- 1 maxCos) (- maxCos 1))))) 1)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* 1/2 (* (sqrt (/ ux (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))))) (* 1/2 (* (sqrt (/ ux (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))))) (* 1/4 (/ (pow (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2))) 2) (* ux (- 2 (* 2 maxCos))))))))))))))
(- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(* 1/2 (+ (cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))))
(+ (cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (- (+ (* -1 (pow (- 1 maxCos) 2)) (* ux (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) 2)))
(asin (- (+ 1 (* maxCos ux)) ux))
(cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))
(cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (- 1 maxCos) ux)))))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 (* (pow ux 2) (- 1 maxCos)))) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (/ maxCos (* (pow ux 2) (- 1 maxCos))))))))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (- 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 2) (- 1 maxCos))) (/ maxCos (* (pow ux 3) (pow (- 1 maxCos) 2)))))) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (* (pow ux 3) (pow (- 1 maxCos) 2))) (/ maxCos (* (pow ux 2) (- 1 maxCos)))))))))
(* -1 (* ux (- 1 maxCos)))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- maxCos 1) (pow (- 1 maxCos) 2))) (/ maxCos (pow (- 1 maxCos) 2))) (+ (* 1/2 (/ (* (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (* (- 1 maxCos) (- maxCos 1)))) (/ 1 (pow (- 1 maxCos) 2))))) (pow ux 3)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 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 (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (- 1 maxCos) ux))) (* -1 (/ (- maxCos 1) ux))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (pow ux 2)) (/ maxCos (* (pow ux 2) (- 1 maxCos))))))) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 (* (pow ux 2) (- 1 maxCos))))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (* (pow ux 3) (pow (- 1 maxCos) 2))) (+ (/ 1 (pow ux 2)) (/ maxCos (* (pow ux 2) (- 1 maxCos)))))))) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (- 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 2) (- 1 maxCos))) (/ maxCos (* (pow ux 3) (pow (- 1 maxCos) 2))))))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (+ 1 (* -1 maxCos))) (* -1 (/ (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) ux))) (+ 1 (* -1 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (+ 1 (* -1 maxCos))) (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (* 2 (/ 1 (+ 1 (* -1 maxCos))))) ux)) (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos)))))) ux))) (+ 1 (* -1 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (* 2 (/ 1 (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))
(+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))
(* 1/2 (+ (cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))))
(+ (cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (* ux (+ 1 (* -1 maxCos))))) (/ 1 ux)))) (* -1 (+ 1 (* -1 maxCos)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (* ux (pow (+ 1 (* -1 maxCos)) 2)))) (/ 2 (* ux (+ 1 (* -1 maxCos))))) (+ 1 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos)))))) ux)))) (* -1 (+ 1 (* -1 maxCos)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(asin (+ 1 (+ (* -1 ux) (* maxCos ux))))
(cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))
(cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux)))))
(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))
(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))))
(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))))))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* -2 (* uy (PI))))
(cos (asin (- (+ 1 (* maxCos ux)) ux)))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* -1/2 (* uy (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -1/2 (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (+ (* -1/2 (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))) (* uy (+ (* -2 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -1/2 (* uy (+ (* -4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux))) (* 4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux))))
(+ (* -1 (* uy (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux)))))
(+ (* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (- (* -4 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (- (* uy (+ (* -4 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -1 (* uy (+ (* -4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux))) (* 4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))))) (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* -2 (* uy (* (PI) (- (+ 1 (* maxCos ux)) ux)))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* -2 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* uy (+ (* -2 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 4/3 (* uy (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* 2 (* uy (* (PI) (- (+ 1 (* maxCos ux)) ux)))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* -2 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* uy (+ (* -2 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -4/3 (* uy (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))
(* -2 (* uy (PI)))
(* uy (- (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* -1 (* uy (- (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)) (* -2 (PI)))))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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) (- 1 (pow ux 2))) (+ 1 ux)))
(- (+ 1 (* maxCos (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(- (+ 1 (* maxCos (- (+ (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (* maxCos (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(- (+ 1 (* maxCos (- (+ (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (* maxCos (- (+ (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (* maxCos (- (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))) (* -1 (/ (pow ux 3) (+ 1 ux)))))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(/ (- 1 (pow ux 2)) (+ 1 ux))
(- (+ (* maxCos (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos (- (+ (* 2 (/ (pow ux 2) (+ 1 ux))) (* maxCos (- (* -1 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos (- (+ (* 2 (/ (pow ux 2) (+ 1 ux))) (* maxCos (- (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* maxCos (* ux (- (* -1 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux)))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))) (+ (* -1 (/ (pow ux 3) (+ 1 ux))) (* 1/2 (/ (* (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
2
(+ 2 (* -2 maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 2 (/ (pow ux 3) (+ 1 ux))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))))))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (- (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (/ 1 (pow maxCos 2)))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux))) (/ 1 (pow maxCos 2))))) (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (* (pow maxCos 3) ux))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2))))))
(* maxCos (- (+ ux (* -2 (/ ux maxCos))) (* -1 (/ (+ 1 ux) maxCos))))
(* maxCos (- (+ ux (+ (* -2 (/ ux maxCos)) (* -1 (/ (- 1 (pow ux 2)) (* (pow maxCos 2) ux))))) (+ (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) (* (pow maxCos 2) ux))) (* -1 (/ (+ 1 ux) maxCos)))))
(* maxCos (- (+ ux (+ (* -2 (/ ux maxCos)) (+ (* -1 (/ (- 1 (pow ux 2)) (* (pow maxCos 2) ux))) (/ (* (+ 1 ux) (- (* -1 (/ (- 1 (pow ux 2)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux)))) (* (pow maxCos 3) ux))))) (+ (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) (* (pow maxCos 2) ux))) (* -1 (/ (+ 1 ux) maxCos)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) ux)) (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)) (* 1/2 (/ (* (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -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) (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 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (pow ux 2)) (* -1 (/ (* ux (+ 1 ux)) maxCos))))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (* (pow maxCos 3) ux))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2)))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux)))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2))))) maxCos)) (* ux (+ 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux) (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)) maxCos)) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2))))) maxCos)) (* ux (+ 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -2 ux) (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -2 ux) (* -1 (/ (- (/ 1 ux) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux))) maxCos))) (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -2 ux) (* -1 (/ (- (+ (/ 1 ux) (/ (* (+ 1 ux) (- (/ 1 ux) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux)))) (* maxCos ux))) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux))) maxCos))) (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux) (+ (* 1/2 (/ (* (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) maxCos)) (* 2 (pow ux 2)))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* -1 (/ (- (/ (* (- 1 ux) (- 1 (pow ux 2))) ux) (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux)) maxCos)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) maxCos)) (* 2 (pow ux 2)))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
19.0ms
uy
@-inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))))) (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (/ (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) 2) (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (asin (+ (* maxCos ux) (- 1 ux))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))))
14.0ms
maxCos
@0
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))))) (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (/ (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) 2) (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (asin (+ (* maxCos ux) (- 1 ux))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))))
12.0ms
ux
@inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))))) (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (/ (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) 2) (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (asin (+ (* maxCos ux) (- 1 ux))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))))
11.0ms
maxCos
@inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))))) (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (/ (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) 2) (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (asin (+ (* maxCos ux) (- 1 ux))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))))
10.0ms
maxCos
@-inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))))) (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (/ (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) 2) (+ (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (/ (- 1 ux) maxCos) ux) maxCos) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (asin (+ (* maxCos ux) (- 1 ux))) (cos (+ (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))))

simplify332.0ms (3%)

Memory
0.5MiB live, 235.9MiB allocated
Algorithm
egg-herbie
Rules
7 276×lower-*.f64
7 276×lower-*.f32
6 992×lower-fma.f64
6 992×lower-fma.f32
4 834×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129710606
1463210259
092799818
Stop Event
iter limit
node limit
Counts
208 → 208
Calls
Call 1
Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- (+ 2 (* ux (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(* ux (- (+ 2 (* ux (- (+ (* ux (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(* ux (- (+ 2 (* ux (- (+ (* ux (- (+ (* ux (* (- 1 maxCos) (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(+ 1 (* ux (- (+ maxCos (* ux (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- maxCos 1))))) 1)))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ (* -1 (* ux (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- maxCos 1)))))) (* -1 (pow (- 1 maxCos) 2))) (* (- 1 maxCos) (- maxCos 1))))) 1)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* 1/2 (* (sqrt (/ ux (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))))) (* 1/2 (* (sqrt (/ ux (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))))) (* 1/4 (/ (pow (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2))) 2) (* ux (- 2 (* 2 maxCos))))))))))))))
(- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(* 1/2 (+ (cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))))
(+ (cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (- (+ (* -1 (pow (- 1 maxCos) 2)) (* ux (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) 2)))
(asin (- (+ 1 (* maxCos ux)) ux))
(cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))
(cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (- 1 maxCos) ux)))))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 (* (pow ux 2) (- 1 maxCos)))) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (/ maxCos (* (pow ux 2) (- 1 maxCos))))))))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (- 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 2) (- 1 maxCos))) (/ maxCos (* (pow ux 3) (pow (- 1 maxCos) 2)))))) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (* (pow ux 3) (pow (- 1 maxCos) 2))) (/ maxCos (* (pow ux 2) (- 1 maxCos)))))))))
(* -1 (* ux (- 1 maxCos)))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- maxCos 1) (pow (- 1 maxCos) 2))) (/ maxCos (pow (- 1 maxCos) 2))) (+ (* 1/2 (/ (* (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (* (- 1 maxCos) (- maxCos 1)))) (/ 1 (pow (- 1 maxCos) 2))))) (pow ux 3)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 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 (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (- 1 maxCos) ux))) (* -1 (/ (- maxCos 1) ux))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (pow ux 2)) (/ maxCos (* (pow ux 2) (- 1 maxCos))))))) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 (* (pow ux 2) (- 1 maxCos))))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (* (pow ux 3) (pow (- 1 maxCos) 2))) (+ (/ 1 (pow ux 2)) (/ maxCos (* (pow ux 2) (- 1 maxCos)))))))) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (- 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 2) (- 1 maxCos))) (/ maxCos (* (pow ux 3) (pow (- 1 maxCos) 2))))))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (+ 1 (* -1 maxCos))) (* -1 (/ (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) ux))) (+ 1 (* -1 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (* -1 (/ (- (+ (* -1 (+ 1 (* -1 maxCos))) (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (* 2 (/ 1 (+ 1 (* -1 maxCos))))) ux)) (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos)))))) ux))) (+ 1 (* -1 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (pow (+ 1 (* -1 maxCos)) 2))) (* 2 (/ 1 (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))
(+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))
(* 1/2 (+ (cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))))
(+ (cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (* ux (+ 1 (* -1 maxCos))))) (/ 1 ux)))) (* -1 (+ 1 (* -1 maxCos)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (* ux (pow (+ 1 (* -1 maxCos)) 2)))) (/ 2 (* ux (+ 1 (* -1 maxCos))))) (+ 1 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos)))))) ux)))) (* -1 (+ 1 (* -1 maxCos)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(asin (+ 1 (+ (* -1 ux) (* maxCos ux))))
(cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))
(cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux)))))
(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))
(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))))
(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))))))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* -2 (* uy (PI))))
(cos (asin (- (+ 1 (* maxCos ux)) ux)))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* -1/2 (* uy (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -1/2 (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (+ (* -1/2 (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))) (* uy (+ (* -2 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -1/2 (* uy (+ (* -4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux))) (* 4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux))))
(+ (* -1 (* uy (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux)))))
(+ (* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (- (* -4 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (- (* uy (+ (* -4 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -1 (* uy (+ (* -4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux))) (* 4/3 (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))))) (+ (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* -2 (* uy (* (PI) (- (+ 1 (* maxCos ux)) ux)))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* -2 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* uy (+ (* -2 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 4/3 (* uy (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* 2 (* uy (* (PI) (- (+ 1 (* maxCos ux)) ux)))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* -2 (* uy (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* uy (- (* uy (+ (* -2 (* (pow (PI) 2) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -4/3 (* uy (* (pow (PI) 3) (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (PI) (- (+ 1 (* maxCos ux)) ux))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))
(* -2 (* uy (PI)))
(* uy (- (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* -1 (* uy (- (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)) (* -2 (PI)))))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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) (- 1 (pow ux 2))) (+ 1 ux)))
(- (+ 1 (* maxCos (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(- (+ 1 (* maxCos (- (+ (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (* maxCos (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(- (+ 1 (* maxCos (- (+ (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (* maxCos (- (+ (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (* maxCos (- (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))) (* -1 (/ (pow ux 3) (+ 1 ux)))))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(/ (- 1 (pow ux 2)) (+ 1 ux))
(- (+ (* maxCos (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos (- (+ (* 2 (/ (pow ux 2) (+ 1 ux))) (* maxCos (- (* -1 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos (- (+ (* 2 (/ (pow ux 2) (+ 1 ux))) (* maxCos (- (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* maxCos (* ux (- (* -1 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux)))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))) (+ (* -1 (/ (pow ux 3) (+ 1 ux))) (* 1/2 (/ (* (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
2
(+ 2 (* -2 maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 2 (/ (pow ux 3) (+ 1 ux))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))))))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (- (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (/ 1 (pow maxCos 2)))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux))) (/ 1 (pow maxCos 2))))) (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (* (pow maxCos 3) ux))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2))))))
(* maxCos (- (+ ux (* -2 (/ ux maxCos))) (* -1 (/ (+ 1 ux) maxCos))))
(* maxCos (- (+ ux (+ (* -2 (/ ux maxCos)) (* -1 (/ (- 1 (pow ux 2)) (* (pow maxCos 2) ux))))) (+ (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) (* (pow maxCos 2) ux))) (* -1 (/ (+ 1 ux) maxCos)))))
(* maxCos (- (+ ux (+ (* -2 (/ ux maxCos)) (+ (* -1 (/ (- 1 (pow ux 2)) (* (pow maxCos 2) ux))) (/ (* (+ 1 ux) (- (* -1 (/ (- 1 (pow ux 2)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux)))) (* (pow maxCos 3) ux))))) (+ (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) (* (pow maxCos 2) ux))) (* -1 (/ (+ 1 ux) maxCos)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) ux)) (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)) (* 1/2 (/ (* (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -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) (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 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (pow ux 2)) (* -1 (/ (* ux (+ 1 ux)) maxCos))))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (* (pow maxCos 3) ux))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2)))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux)))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2))))) maxCos)) (* ux (+ 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux) (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)) maxCos)) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2))))) maxCos)) (* ux (+ 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -2 ux) (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -2 ux) (* -1 (/ (- (/ 1 ux) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux))) maxCos))) (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -2 ux) (* -1 (/ (- (+ (/ 1 ux) (/ (* (+ 1 ux) (- (/ 1 ux) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux)))) (* maxCos ux))) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux))) maxCos))) (* -1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux) (+ (* 1/2 (/ (* (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) maxCos)) (* 2 (pow ux 2)))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* -1 (/ (- (/ (* (- 1 ux) (- 1 (pow ux 2))) ux) (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux)) maxCos)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) maxCos)) (* 2 (pow ux 2)))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ 2 (* ux (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(*.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux (*.f32 #s(literal -2 binary32) maxCos))) ux)
(* ux (- (+ 2 (* ux (- (+ (* ux (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) ux (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- (+ 2 (* ux (- (+ (* ux (- (+ (* ux (* (- 1 maxCos) (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))) (* -1 (pow (- 1 maxCos) 2))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32))))) ux (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(+ 1 (* ux (- (+ maxCos (* ux (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- maxCos 1))))) 1)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux maxCos) #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ (* -1 (* ux (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- maxCos 1)))))) (* -1 (pow (- 1 maxCos) 2))) (* (- 1 maxCos) (- maxCos 1))))) 1)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux maxCos) #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* 1/2 (* (sqrt (/ ux (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32))))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2)))))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))) (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))))))) (* 1/2 (* (sqrt (/ ux (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (- (* (- 1 maxCos) (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2)))))) (* 1/4 (/ (pow (- (* (- 1 maxCos) (- (* 2 maxCos) 2)) (* -1 (pow (- 1 maxCos) 2))) 2) (* ux (- 2 (* 2 maxCos))))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 (-.f32 (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))) ux (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(* 1/2 (+ (cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))))
(*.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) (cos.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) #s(literal 1/2 binary32))
(+ (cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))))
(+.f32 (cos.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) (cos.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.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 (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 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) maxCos #s(literal 1 binary32))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) 2)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (- (+ (* -1 (pow (- 1 maxCos) 2)) (* ux (- (* -1 (* (pow (- 1 maxCos) 2) (- maxCos 1))) (* (- 1 maxCos) (- (* -1 (pow (- 1 maxCos) 2)) (* (- 1 maxCos) (- (* 2 maxCos) 2))))))) (* (- 1 maxCos) (- (* 2 maxCos) 2))))) 2)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos))) ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(asin (- (+ 1 (* maxCos ux)) ux))
(asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(cos (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))
(cos.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(cos (- (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI)))))
(cos.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (- 1 maxCos) ux)))))
(*.f32 (-.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 ux)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 (* (pow ux 2) (- 1 maxCos)))) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (/ maxCos (* (pow ux 2) (- 1 maxCos))))))))
(*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (- 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 2) (- 1 maxCos))) (/ maxCos (* (pow ux 3) (pow (- 1 maxCos) 2)))))) (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (* (pow ux 3) (pow (- 1 maxCos) 2))) (/ maxCos (* (pow ux 2) (- 1 maxCos)))))))))
(*.f32 (-.f32 (+.f32 (neg.f32 (+.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) 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 maxCos (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 maxCos (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos)))))) (*.f32 ux ux))
(* -1 (* ux (- 1 maxCos)))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos))) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) ux)
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos))) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (/.f32 (pow.f32 (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/4 binary32) (/.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)))) ux) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) ux)
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ (* -1 (/ (- maxCos 1) (pow (- 1 maxCos) 2))) (/ maxCos (pow (- 1 maxCos) 2))) (+ (* 1/2 (/ (* (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (* (- 1 maxCos) (- maxCos 1)))) (/ 1 (pow (- 1 maxCos) 2))))) (pow ux 3)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (/ 1 (- 1 maxCos)) (+ (* -1 (/ (- maxCos 1) (- 1 maxCos))) (+ (* 1/4 (/ (pow (- (* -1 (- maxCos 1)) (* -1 (- 1 maxCos))) 2) (* (- 1 maxCos) (- maxCos 1)))) (/ maxCos (- 1 maxCos)))))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos))) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (/.f32 (pow.f32 (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/4 binary32) (/.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)))) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)))) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 (/.f32 (pow.f32 (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/4 binary32) (/.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)))) ux) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) ux)
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) maxCos)
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos (/.f32 #s(literal 1 binary32) ux)) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (- 1 maxCos) ux))) (* -1 (/ (- maxCos 1) ux))))
(*.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 ux))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (pow ux 2)) (/ maxCos (* (pow ux 2) (- 1 maxCos))))))) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 (* (pow ux 2) (- 1 maxCos))))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (/.f32 maxCos (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos))))) (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (/ (- 1 maxCos) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 2) (- 1 maxCos)))) (+ (/ 1 (* (pow ux 3) (pow (- 1 maxCos) 2))) (+ (/ 1 (pow ux 2)) (/ maxCos (* (pow ux 2) (- 1 maxCos)))))))) (+ (* -1 (/ (- maxCos 1) ux)) (+ (* -1 (/ (- maxCos 1) (* (pow ux 3) (pow (- 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 2) (- 1 maxCos))) (/ maxCos (* (pow ux 3) (pow (- 1 maxCos) 2))))))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (/.f32 maxCos (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos))))) (+.f32 (neg.f32 (+.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) 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 maxCos (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) maxCos))))) (*.f32 ux ux))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (cos.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) ux)
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 2 (* -1 (/ (- (+ 1 (* -1 maxCos)) (* -1 (+ 1 (* -1 maxCos)))) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (pow (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (+ 1 (* -1 maxCos))) (+ 1 (* -1 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(cos (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))
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(cos (- (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI)))))
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(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
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(+ (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))))))))
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(cos (asin (- (+ 1 (* maxCos ux)) ux)))
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(* 2 (cos (asin (- (+ 1 (* maxCos ux)) ux))))
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(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* -2 (* uy (* (PI) (- (+ 1 (* maxCos ux)) ux)))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (PI.f32)) (cos.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
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(+ (cos (asin (- (+ 1 (* maxCos ux)) ux))) (* 2 (* uy (* (PI) (- (+ 1 (* maxCos ux)) ux)))))
(fma.f32 (*.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (PI.f32)) uy) #s(literal 2 binary32) (cos.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
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(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(cos (* 2 (* uy (PI))))
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(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 (pow (- ux (* maxCos ux)) 2)) (- (+ 1 (* maxCos ux)) ux)) (- (+ 1 ux) (* maxCos ux))))))
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(* -2 (* uy (PI)))
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(* -2 (* (pow uy 2) (pow (PI) 2)))
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(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
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(* -1 (* uy (- (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)) (* -2 (PI)))))
(*.f32 (neg.f32 uy) (-.f32 (/.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (neg.f32 uy)) (*.f32 #s(literal -2 binary32) (PI.f32))))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))))
(*.f32 (neg.f32 uy) (fma.f32 #s(literal -2 binary32) (PI.f32) (/.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (neg.f32 uy))))
(* (cos (* 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(- (+ 1 (* maxCos (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(-.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) maxCos #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(- (+ 1 (* maxCos (- (+ (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (* maxCos (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32)))) maxCos (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) maxCos #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(- (+ 1 (* maxCos (- (+ (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (* maxCos (- (+ (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (* maxCos (- (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))) (* -1 (/ (pow ux 3) (+ 1 ux)))))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) (+.f32 ux #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 ux #s(literal 1 binary32))))) maxCos (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32)))) maxCos (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) maxCos #s(literal 1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(/ (- 1 (pow ux 2)) (+ 1 ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(- (+ (* maxCos (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* 2 (/ (pow ux 2) (+ 1 ux))) (* maxCos (- (* -1 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (neg.f32 ux) ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) maxCos (/.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* 2 (/ (pow ux 2) (+ 1 ux))) (* maxCos (- (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ (* maxCos (* ux (- (* -1 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (+ 1 ux))) (* -1 (/ (* ux (- (* 2 (/ (pow ux 2) (+ 1 ux))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (+ 1 ux)))))) (* -1 (/ (* ux (- 1 (pow ux 2))) (pow (+ 1 ux) 2))))) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (/.f32 (*.f32 (neg.f32 ux) ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (neg.f32 ux) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) maxCos (/.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux)))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))) (*.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))) (+ (* -1 (/ (pow ux 3) (+ 1 ux))) (* 1/2 (/ (* (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 1/4 (/ (pow (- (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) 2) (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))) (* 2 (/ (pow ux 3) (+ 1 ux))))))) (sqrt (/ 1 (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))) #s(literal 1/2 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))) (*.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))))))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(fma.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(fma.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))) #s(literal 2 binary32) (fma.f32 (-.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) maxCos (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(+ (* maxCos (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (+ (* 2 (/ (pow ux 3) (+ 1 ux))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 ux))) (* -1 (/ (* ux (- (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (* 2 (/ (pow ux 3) (+ 1 ux)))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (+ 1 ux))))))) (* -1 (/ (* ux (- (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) (+ 1 ux))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (+ 1 ux))))) (/ (* ux (- 1 (pow ux 2))) (+ 1 ux)))) (* -1 (/ (* ux (* (- 1 ux) (- 1 (pow ux 2)))) (pow (+ 1 ux) 2))))) (/ (* (- 1 ux) (- 1 (pow ux 2))) (+ 1 ux)))
(fma.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))) #s(literal 2 binary32) (fma.f32 (-.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) (+.f32 ux #s(literal 1 binary32))))) maxCos)) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (+.f32 ux #s(literal 1 binary32))))) maxCos (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (- (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (pow ux 2))))
(*.f32 (-.f32 (*.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos)) (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 maxCos) ux)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (/ 1 (pow maxCos 2)))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2)))))
(*.f32 (-.f32 (-.f32 (fma.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 maxCos) ux))) (fma.f32 ux ux (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (*.f32 maxCos maxCos)) (neg.f32 ux)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux))) (/ 1 (pow maxCos 2))))) (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (* (pow maxCos 3) ux))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2))))))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) maxCos) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (neg.f32 ux)) (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) (neg.f32 ux))) (+.f32 ux #s(literal 1 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))) ux) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos ux)))) (fma.f32 ux ux (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (*.f32 maxCos maxCos)) (neg.f32 ux))))) (*.f32 maxCos maxCos))
(* maxCos (- (+ ux (* -2 (/ ux maxCos))) (* -1 (/ (+ 1 ux) maxCos))))
(*.f32 (+.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) maxCos)) maxCos)
(* maxCos (- (+ ux (+ (* -2 (/ ux maxCos)) (* -1 (/ (- 1 (pow ux 2)) (* (pow maxCos 2) ux))))) (+ (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) (* (pow maxCos 2) ux))) (* -1 (/ (+ 1 ux) maxCos)))))
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (neg.f32 ux))) ux) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) (*.f32 maxCos maxCos)) (/.f32 (+.f32 ux #s(literal 1 binary32)) ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos)))) maxCos)
(* maxCos (- (+ ux (+ (* -2 (/ ux maxCos)) (+ (* -1 (/ (- 1 (pow ux 2)) (* (pow maxCos 2) ux))) (/ (* (+ 1 ux) (- (* -1 (/ (- 1 (pow ux 2)) ux)) (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux)))) (* (pow maxCos 3) ux))))) (+ (* -1 (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) (* (pow maxCos 2) ux))) (* -1 (/ (+ 1 ux) maxCos)))))
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (neg.f32 ux))) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (+.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (neg.f32 ux)))) ux) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) (*.f32 maxCos maxCos)) (/.f32 (+.f32 ux #s(literal 1 binary32)) ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) (*.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) #s(literal 2 binary32)) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (neg.f32 ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos)
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) ux)) (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)) (* 1/2 (/ (* (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* 1/4 (/ (pow (- (* -1 (* ux (+ 1 ux))) (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (neg.f32 ux)) (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) (neg.f32 ux))) ux)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) #s(literal 2 binary32)) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (neg.f32 ux)))) ux) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 ux))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))) #s(literal 2 binary32)) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (neg.f32 ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))) 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 (fma.f32 (neg.f32 ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (pow ux 2)) (* -1 (/ (* ux (+ 1 ux)) maxCos))))
(*.f32 (-.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 maxCos) ux))) (*.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))))))
(*.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (fma.f32 ux ux (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (*.f32 maxCos maxCos)) (neg.f32 ux)))) (neg.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (*.f32 maxCos maxCos)) (/.f32 (+.f32 ux #s(literal 1 binary32)) ux) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) ux) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 (/ (* (- 1 ux) (- 1 (pow ux 2))) (* (pow maxCos 3) ux))) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) (* maxCos ux))) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (pow ux 2)))) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) (* (pow maxCos 2) ux))) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* ux (- 1 (pow ux 2)))) ux)) (* -1 (/ (* (+ 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* 2 (pow ux 3))) ux)) (* -1 (* ux (+ 1 ux))))) ux)))) (* (pow maxCos 3) ux)))))))
(*.f32 (-.f32 (+.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos ux)))) (fma.f32 ux ux (/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (*.f32 maxCos maxCos)) (neg.f32 ux)))) (fma.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos) (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) maxCos) (/.f32 (+.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (neg.f32 ux)) (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) (neg.f32 ux))) (+.f32 ux #s(literal 1 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))) ux)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* (pow maxCos 2) (- (* -1 (/ (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2))))) maxCos)) (* ux (+ 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))) maxCos) #s(literal -1 binary32) (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux) (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)) maxCos)) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2))))) maxCos)) (* ux (+ 1 ux))) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) (/.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) ux)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 ux)))) (neg.f32 maxCos))) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))) maxCos) #s(literal -1 binary32) (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32)))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -2 ux) (* -1 (+ 1 ux))) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) maxCos) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -2 ux) (* -1 (/ (- (/ 1 ux) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux))) maxCos))) (* -1 (+ 1 ux))) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) ux) ux)) (neg.f32 maxCos))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))) maxCos) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -2 ux) (* -1 (/ (- (+ (/ 1 ux) (/ (* (+ 1 ux) (- (/ 1 ux) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux)))) (* maxCos ux))) (+ ux (/ (* (+ 1 ux) (- (* -2 ux) (* -1 (+ 1 ux)))) ux))) maxCos))) (* -1 (+ 1 ux))) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) ux) ux)) (+.f32 ux #s(literal 1 binary32))) maxCos) #s(literal 1 binary32)) ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) ux (fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))) ux) ux)) (neg.f32 maxCos))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))) maxCos) ux)))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux) (+ (* 1/2 (/ (* (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow ux 2) (pow (sqrt -1) 2)))) (/ (* (- 1 ux) (- 1 (pow ux 2))) ux)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* 1/4 (/ (pow (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 1 ux)) (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) ux)) ux)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) ux) (/.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos) (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) maxCos)) (* 2 (pow ux 2)))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (-.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) ux)) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -1 (* ux (- 1 ux))) (+ (* -1 (/ (- (+ (* -2 (* ux (- 1 ux))) (+ (* -1 (- 1 (pow ux 2))) (* -1 (/ (- (/ (* (- 1 ux) (- 1 (pow ux 2))) ux) (/ (* (+ 1 ux) (- (+ (* -2 (* ux (- 1 ux))) (* -1 (- 1 (pow ux 2)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux))) ux)) maxCos)))) (/ (* (+ 1 ux) (- (+ (* -1 (* ux (- 1 ux))) (* 2 (pow ux 2))) (* ux (+ 1 ux)))) ux)) maxCos)) (* 2 (pow ux 2)))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (-.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) ux)) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (+.f32 ux #s(literal 1 binary32))) ux)) (neg.f32 maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) ux)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite318.0ms (2.8%)

Memory
34.2MiB live, 444.6MiB allocated
Rules
4 358×lower-*.f64
4 322×lower-*.f32
3 566×lower-fma.f64
3 560×lower-fma.f32
2 184×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069487
0121429
1492375
24274375
08884372
Stop Event
iter limit
node limit
iter limit
Counts
27 → 727
Calls
Call 1
Inputs
(*.f32 (cos.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)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(-.f32 #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 (-.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 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 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
(+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(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))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.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) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))
(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Outputs
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (neg.f32 (PI.f32)))) (cos.f32 (*.f32 uy (neg.f32 (PI.f32))))) (*.f32 (sin.f32 (*.f32 uy (neg.f32 (PI.f32)))) (sin.f32 (*.f32 uy (neg.f32 (PI.f32))))))
(-.f32 (*.f32 (cos.f32 (*.f32 (neg.f32 (PI.f32)) uy)) (cos.f32 (*.f32 (neg.f32 (PI.f32)) uy))) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) uy)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) uy))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32)))))
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(fma.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy)) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy)) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy))))
(cos.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy)))
(cos.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 uy uy) (*.f32 uy uy)) (-.f32 uy uy))
(/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy))))
(+.f32 uy uy)
(*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(/.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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (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 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) (fabs.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (neg.f32 (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 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #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) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 maxCos) ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (-.f32 ux (*.f32 maxCos ux)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal -3 binary32)) (pow.f32 (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.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)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.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)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.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)))) (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 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (*.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (*.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 4 binary32))) (*.f32 (+.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (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) (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 6 binary32))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 4 binary32))) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
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(+.f32 (*.f32 (cos.f32 (/.f32 (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))))) (cos.f32 (/.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))))) (*.f32 (sin.f32 (/.f32 (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))))) (sin.f32 (/.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (*.f32 #s(literal 0 binary32) (sin.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(+.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy)))) (*.f32 #s(literal 1 binary32) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(+.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) (*.f32 #s(literal 1 binary32) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(+.f32 (*.f32 (sin.f32 (neg.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))) #s(literal 0 binary32)) (*.f32 (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (fma.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+.f32 (*.f32 (sin.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) #s(literal 0 binary32)) (*.f32 (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(+.f32 (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(cos.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))))
(cos.f32 (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(cos.f32 (neg.f32 (neg.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(cos.f32 (neg.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))

eval223.0ms (2%)

Memory
-34.1MiB live, 307.1MiB allocated
Compiler

Compiled 58 178 to 5 604 computations (90.4% saved)

prune63.0ms (0.6%)

Memory
-23.2MiB live, 120.9MiB allocated
Pruning

47 alts after pruning (45 fresh and 2 done)

PrunedKeptTotal
New1 037331 070
Fresh191231
Picked325
Done000
Total1 059471 106
Accuracy
99.4%
Counts
1 106 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal 2 binary32))
25.0%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
67.9%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
54.8%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
53.4%
(*.f32 (cos.f32 (*.f32 (/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy)))) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
55.0%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
38.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
54.9%
(*.f32 (cos.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))))))
36.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
53.5%
(*.f32 (cos.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))))))
56.1%
(*.f32 (cos.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))))))
25.4%
(*.f32 (cos.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))))))
53.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
53.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
7.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
20.6%
(*.f32 (cos.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)))))
0.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) ux (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
71.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (neg.f32 maxCos)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (neg.f32 ux)) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
55.4%
(*.f32 (cos.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))))
64.9%
(*.f32 (cos.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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.8%
(*.f32 (cos.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 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.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)))))
98.8%
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
97.6%
(*.f32 (cos.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) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
68.6%
(*.f32 (cos.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 (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)))))
93.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
10.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
45.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
46.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
45.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
47.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
11.1%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
24.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
75.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
3.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
11.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
49.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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))))))
5.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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))))))
45.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
Compiler

Compiled 3 901 to 2 472 computations (36.6% saved)

simplify213.0ms (1.9%)

Memory
26.5MiB live, 212.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff4
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
cost-diff9
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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)))))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
cost-diff4
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
cost-diff0
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
cost-diff0
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff1
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
Rules
12 068×lower-fma.f64
12 062×lower-fma.f32
3 560×lower-*.f64
3 514×lower-*.f32
3 506×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066802
0115713
1222713
2551713
31877641
44462641
08275641
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
(*.f32 #s(literal 2 binary32) maxCos)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (PI.f32) (PI.f32)) uy)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
uy
(*.f32 #s(literal -2 binary32) uy)
#s(literal -2 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.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 (cos.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)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(*.f32 (*.f32 maxCos ux) ux)
(*.f32 maxCos ux)
maxCos
ux
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(cos.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
Outputs
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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)))))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) maxCos)
(*.f32 maxCos #s(literal 2 binary32))
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 uy uy))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) uy) uy) (PI.f32)) #s(literal -2 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) uy)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
uy
(*.f32 #s(literal -2 binary32) uy)
#s(literal -2 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 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 (cos.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 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(*.f32 (*.f32 maxCos ux) ux)
(*.f32 maxCos ux)
maxCos
ux
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))
(*.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(-.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32)))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))

localize241.0ms (2.2%)

Memory
-9.0MiB live, 270.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.38671875
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
accuracy0.43937761730502695
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy14.089420309012157
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
accuracy0.14453125
(*.f32 (*.f32 maxCos ux) ux)
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy14.089420309012157
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))
accuracy29.714284651768434
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.215611620627633
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
accuracy14.089420309012157
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy2.140415443769902
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy4.215611620627633
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy7.766964327317072
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy27.580363086188232
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy0.14029368135369588
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.14291000976844204
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3678512695368841
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
Samples
152.0ms249×0valid
4.0ms1valid
Compiler

Compiled 666 to 49 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 75.0ms (56.3% of total)
ival-sub: 37.0ms (27.8% of total)
ival-add: 6.0ms (4.5% of total)
ival-sqrt: 5.0ms (3.8% of total)
ival-cosu: 4.0ms (3% of total)
ival-pow2: 3.0ms (2.3% of total)
ival-div: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.8% of total)
adjust: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
-0.6MiB live, 44.7MiB allocated
Counts
28 → 91
Calls
Call 1
Inputs
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (cos.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 uy #s(literal 2 binary32))
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))
(*.f32 (*.f32 maxCos ux) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* maxCos (pow ux 2))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* -2 (pow uy 2))
(* 2 uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
2
(+ 2 (* -2 maxCos))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (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)))
(- 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))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
uy
@-inf
((- 2 (* 2 maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))))) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (cos (* (* uy 2) (PI))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))) (+ (* maxCos ux) (- 1 ux)))
2.0ms
ux
@-inf
((- 2 (* 2 maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))))) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (cos (* (* uy 2) (PI))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))) (+ (* maxCos ux) (- 1 ux)))
2.0ms
ux
@0
((- 2 (* 2 maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))))) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (cos (* (* uy 2) (PI))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))) (+ (* maxCos ux) (- 1 ux)))
2.0ms
ux
@inf
((- 2 (* 2 maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))))) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (cos (* (* uy 2) (PI))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))) (+ (* maxCos ux) (- 1 ux)))
2.0ms
uy
@inf
((- 2 (* 2 maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux))))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))))) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (cos (* (* uy 2) (PI))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (* maxCos ux) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (* (sqrt (+ (* maxCos ux) (- 1 ux))) (sqrt (+ (* maxCos ux) (- 1 ux)))))) (+ (* maxCos ux) (- 1 ux)))

simplify192.0ms (1.7%)

Memory
4.2MiB live, 298.2MiB allocated
Algorithm
egg-herbie
Rules
6 910×lower-fma.f64
6 910×lower-fma.f32
6 768×lower-*.f64
6 768×lower-*.f32
3 060×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04512475
115722343
268612323
085762211
Stop Event
iter limit
node limit
Counts
91 → 91
Calls
Call 1
Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* maxCos (pow ux 2))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* -2 (pow uy 2))
(* 2 uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
2
(+ 2 (* -2 maxCos))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (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)))
(- 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))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (-.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)
(* maxCos (pow ux 2))
(*.f32 (*.f32 ux ux) maxCos)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* (pow ux 2) (pow (- maxCos 1) 2))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
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(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
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(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 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 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy)) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* -2 (pow uy 2))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(* (cos (* 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (cos (* 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux maxCos)) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos))
(- 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 #s(literal 1 binary32) (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))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (*.f32 (*.f32 (neg.f32 ux) maxCos) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* 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 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux maxCos))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux) (*.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 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))

rewrite319.0ms (2.8%)

Memory
-6.2MiB live, 422.2MiB allocated
Rules
6 230×lower-*.f64
6 184×lower-*.f32
4 480×lower-fma.f64
4 474×lower-fma.f32
3 298×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066478
0115348
1406342
22619336
010929330
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 804
Calls
Call 1
Inputs
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (cos.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 uy #s(literal 2 binary32))
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) 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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))
(*.f32 (*.f32 maxCos ux) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
Outputs
(/.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 3 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))) (*.f32 (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))) #s(literal 8 binary32))) (*.f32 (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))) (neg.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 maxCos #s(literal 2 binary32)) (fma.f32 maxCos #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 4 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 maxCos #s(literal 2 binary32) #s(literal 2 binary32)))
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(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(fma.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(fma.f32 maxCos (*.f32 ux (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(pow.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 4 binary32))
(pow.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (-.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (-.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))))
(fabs.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
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(fabs.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
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(+.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
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(+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
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(exp.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
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(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (sin.f32 (acos.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
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(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (neg.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 maxCos) ux))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(fma.f32 (neg.f32 ux) maxCos (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (neg.f32 ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fabs.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (-.f32 (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(fabs.f32 (-.f32 (*.f32 (neg.f32 maxCos) ux) (-.f32 #s(literal 1 binary32) ux)))
(fabs.f32 (neg.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))))
(fabs.f32 (neg.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (neg.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))))
(fabs.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)))
(fabs.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)))
(fabs.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (cosh.f32 (log.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) (sinh.f32 (log.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
(+.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (neg.f32 ux)) maxCos))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(exp.f32 (/.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))

eval197.0ms (1.8%)

Memory
14.5MiB live, 343.3MiB allocated
Compiler

Compiled 92 797 to 6 955 computations (92.5% saved)

prune149.0ms (1.3%)

Memory
2.3MiB live, 193.2MiB allocated
Pruning

77 alts after pruning (74 fresh and 3 done)

PrunedKeptTotal
New1 310491 359
Fresh152540
Picked325
Done112
Total1 329771 406
Accuracy
99.6%
Counts
1 406 → 77
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
68.0%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.6%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.5%
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.5%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
54.8%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
53.6%
(*.f32 (cos.f32 (*.f32 (/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy)))) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
55.0%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
20.6%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (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)))))
38.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
54.9%
(*.f32 (cos.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))))))
53.5%
(*.f32 (cos.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))))))
56.1%
(*.f32 (cos.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))))))
25.4%
(*.f32 (cos.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))))))
53.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
55.6%
(*.f32 (cos.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))))
64.9%
(*.f32 (cos.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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.8%
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
97.6%
(*.f32 (cos.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 (* 2 maxCos)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
41.0%
(*.f32 (cos.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 (* 2 maxCos)) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
10.5%
(*.f32 (cos.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 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.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)))))
93.2%
(*.f32 (cos.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 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
68.6%
(*.f32 (cos.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 (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)))))
93.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
98.7%
(*.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
11.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
45.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
46.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
45.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
47.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
11.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
24.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
45.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
75.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
8.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (/.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
66.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
49.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
24.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
20.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
20.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
48.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
48.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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))))))
49.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
47.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
24.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
48.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
19.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
49.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
20.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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))))))
4.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
45.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
Compiler

Compiled 6 629 to 4 239 computations (36.1% saved)

simplify147.0ms (1.3%)

Memory
-9.4MiB live, 134.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (cos.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))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff1
(-.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))))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff3
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff0
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff2
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff0
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
cost-diff1
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff1
(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)
Rules
7 990×lower-fma.f64
7 986×lower-fma.f32
3 778×lower-*.f64
3 732×lower-*.f32
2 924×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072843
0126831
1246823
2608813
32144813
45003813
08573755
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux)
(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)
(-.f32 #s(literal 2 binary32) maxCos)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (PI.f32) (PI.f32)) uy)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
uy
(*.f32 #s(literal -2 binary32) uy)
#s(literal -2 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 uy uy))
#s(literal -2 binary32)
(*.f32 uy uy)
uy
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.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 (-.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 (cos.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))))))
(cos.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 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.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))))
#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(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) 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)))))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) 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 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) 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 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) 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 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) 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 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 2 binary32) maxCos)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) uy) (*.f32 #s(literal -2 binary32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) uy)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
uy
(*.f32 #s(literal -2 binary32) uy)
#s(literal -2 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 uy uy))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 uy uy)
uy
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #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 (-.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 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #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 (+.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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.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 (-.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)
(*.f32 (cos.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 (sqrt.f32 (fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))
(*.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 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #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 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
ux
(*.f32 maxCos ux)
maxCos
(+.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)
(*.f32 ux maxCos)
(*.f32 maxCos ux)

localize174.0ms (1.6%)

Memory
-0.6MiB live, 193.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.14291000976844204
(*.f32 (cos.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))))))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.40625
(*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy14.089420309012157
(-.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))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.215611620627633
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy7.0581420465576254
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy14.089420309012157
(-.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))))
accuracy2.140415443769902
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy4.215611620627633
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
accuracy7.0581420465576254
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))
accuracy7.766964327317072
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy4.215611620627633
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
accuracy9.460097380534286
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy14.089420309012157
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
accuracy0.14029368135369588
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.14291000976844204
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.29296875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3678512695368841
(*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
Samples
102.0ms249×0valid
5.0ms1valid
Compiler

Compiled 644 to 54 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 31.0ms (37.5% of total)
ival-sub: 29.0ms (35.1% of total)
ival-add: 7.0ms (8.5% of total)
ival-cosu: 4.0ms (4.8% of total)
ival-div: 3.0ms (3.6% of total)
ival-sqrt: 3.0ms (3.6% of total)
ival-pow2: 3.0ms (3.6% of total)
adjust: 1.0ms (1.2% of total)
ival-pi: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
9.4MiB live, 51.8MiB allocated
Counts
28 → 93
Calls
Call 1
Inputs
(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.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 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (cos.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 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.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))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.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)))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* 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))))
(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -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))))
(* (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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
2
(+ 2 (* -2 maxCos))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* 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)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -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)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
uy
@inf
((- (- 2 maxCos) maxCos) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* (* (PI) (PI)) uy) (* -2 uy)) (* (* (PI) (PI)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* -2 (* uy uy)) (* (* (PI) (PI)) 1)) 1) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (cos (* (* uy 2) (PI))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))))
2.0ms
ux
@-inf
((- (- 2 maxCos) maxCos) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* (* (PI) (PI)) uy) (* -2 uy)) (* (* (PI) (PI)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* -2 (* uy uy)) (* (* (PI) (PI)) 1)) 1) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (cos (* (* uy 2) (PI))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))))
2.0ms
ux
@0
((- (- 2 maxCos) maxCos) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* (* (PI) (PI)) uy) (* -2 uy)) (* (* (PI) (PI)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* -2 (* uy uy)) (* (* (PI) (PI)) 1)) 1) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (cos (* (* uy 2) (PI))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))))
2.0ms
uy
@-inf
((- (- 2 maxCos) maxCos) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* (* (PI) (PI)) uy) (* -2 uy)) (* (* (PI) (PI)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* -2 (* uy uy)) (* (* (PI) (PI)) 1)) 1) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (cos (* (* uy 2) (PI))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))))
2.0ms
maxCos
@-inf
((- (- 2 maxCos) maxCos) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* (* (* (PI) (PI)) uy) (* -2 uy)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* (* (PI) (PI)) uy) (* -2 uy)) (* (* (PI) (PI)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* -2 (* uy uy)) (* (* (PI) (PI)) 1)) 1) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (cos (* (* uy 2) (PI))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))))

simplify166.0ms (1.5%)

Memory
-2.6MiB live, 270.1MiB allocated
Algorithm
egg-herbie
Rules
6 970×lower-fma.f64
6 970×lower-fma.f32
6 908×lower-*.f64
6 908×lower-*.f32
3 076×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04632515
116192385
270182365
087312251
Stop Event
iter limit
node limit
Counts
93 → 93
Calls
Call 1
Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* 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))))
(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -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))))
(* (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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
2
(+ 2 (* -2 maxCos))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* 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)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -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)))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- 2 (* 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 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* ux (* (cos (* 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))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux)))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) (neg.f32 ux))) (neg.f32 ux))))
(* -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) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 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 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(* (cos (* 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (cos (* 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux maxCos)) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (*.f32 (*.f32 (neg.f32 ux) maxCos) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux maxCos) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux maxCos))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux ux)) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux) (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 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux) (*.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 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite189.0ms (1.7%)

Memory
-2.5MiB live, 289.1MiB allocated
Rules
3 800×lower-*.f64
3 754×lower-*.f32
2 772×lower-pow.f64
2 770×lower-pow.f32
2 640×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072481
0126417
1482399
23196393
08211369
Stop Event
iter limit
node limit
iter limit
Counts
28 → 678
Calls
Call 1
Inputs
(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.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 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (cos.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 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.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))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.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)))
Outputs
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 maxCos #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)))
(/.f32 (-.f32 #s(literal 8 binary32) (*.f32 #s(literal 8 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (+.f32 (pow.f32 (*.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 maxCos #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (neg.f32 (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32)))) (neg.f32 (fma.f32 maxCos (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (-.f32 #s(literal 4 binary32) (*.f32 maxCos #s(literal -4 binary32))))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 maxCos maxCos)) (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos))
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 maxCos (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (*.f32 maxCos #s(literal -4 binary32)))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (-.f32 #s(literal 4 binary32) (*.f32 maxCos #s(literal -4 binary32)))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (*.f32 maxCos maxCos) (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 3 binary32)) (fma.f32 maxCos (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos (+.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) (pow.f32 (-.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))))
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))))
(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 maxCos) #s(literal -2 binary32)))
(-.f32 #s(literal 2 binary32) (*.f32 maxCos #s(literal 2 binary32)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
(+.f32 (/.f32 (*.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (-.f32 #s(literal 4 binary32) (*.f32 maxCos #s(literal -4 binary32))))) (/.f32 #s(literal 8 binary32) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (-.f32 #s(literal 4 binary32) (*.f32 maxCos #s(literal -4 binary32))))))
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))
(+.f32 #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 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)))))) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 (cos.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 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 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(fma.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
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(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
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(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
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(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
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(fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(fma.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(fma.f32 maxCos (*.f32 ux (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(pow.f32 (exp.f32 (log.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(fabs.f32 (-.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (-.f32 (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))))
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(+.f32 (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))

eval126.0ms (1.1%)

Memory
6.4MiB live, 155.1MiB allocated
Compiler

Compiled 29 886 to 3 303 computations (88.9% saved)

prune119.0ms (1.1%)

Memory
18.2MiB live, 210.7MiB allocated
Pruning

85 alts after pruning (79 fresh and 6 done)

PrunedKeptTotal
New60724631
Fresh145569
Picked235
Done033
Total62385708
Accuracy
99.6%
Counts
708 → 85
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
98.6%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
54.8%
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))))
98.4%
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
54.9%
(*.f32 (cos.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 (-.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))))))
98.4%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
52.7%
(*.f32 (cos.f32 (*.f32 (/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy)))) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
55.0%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
20.6%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (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)))))
38.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
54.9%
(*.f32 (cos.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))))))
53.5%
(*.f32 (cos.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))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
53.5%
(*.f32 (cos.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))))))
56.1%
(*.f32 (cos.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))))))
25.4%
(*.f32 (cos.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))))))
53.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
55.4%
(*.f32 (cos.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))))
65.3%
(*.f32 (cos.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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (-.f32 #s(literal 4 binary32) (*.f32 maxCos #s(literal -4 binary32))))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.8%
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
97.6%
(*.f32 (cos.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) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
41.0%
(*.f32 (cos.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) maxCos) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
93.2%
(*.f32 (cos.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) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
10.5%
(*.f32 (cos.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 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.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)))))
68.6%
(*.f32 (cos.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 (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)))))
93.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
98.6%
(*.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
15.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
45.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
46.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
45.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
11.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
24.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
24.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
45.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 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))))))
46.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
45.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)))))
45.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
0.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
79.1%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
61.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
7.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (/.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
66.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
49.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
25.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
20.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
20.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
48.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
48.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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))))))
49.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
47.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
24.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
48.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
50.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
19.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
49.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
20.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
46.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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))))))
4.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
45.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
Compiler

Compiled 9 997 to 3 199 computations (68% saved)

regimes406.0ms (3.6%)

Memory
-13.1MiB live, 594.8MiB allocated
Counts
143 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
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(*.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (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 ux #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 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (*.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)))))))
Outputs
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Calls

11 calls:

45.0ms
(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)))))
42.0ms
(-.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))))
39.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
36.0ms
(*.f32 uy #s(literal 2 binary32))
35.0ms
ux
Results
AccuracySegmentsBranch
98.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.8%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))))
98.8%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)))))
98.8%1(*.f32 uy #s(literal 2 binary32))
98.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.8%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.8%1(*.f32 (cos.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))))))
98.8%1ux
98.8%1uy
98.8%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes306.0ms (2.7%)

Memory
23.5MiB live, 490.7MiB allocated
Counts
103 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (cos.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 (* 2 maxCos)) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (cos.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) maxCos) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (cos.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 (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 (cos.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 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.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)))))
(*.f32 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.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)))))
Outputs
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Calls

11 calls:

53.0ms
maxCos
28.0ms
(*.f32 (cos.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))))))
27.0ms
uy
26.0ms
(*.f32 uy #s(literal 2 binary32))
26.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
98.8%1(*.f32 uy #s(literal 2 binary32))
98.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.8%1uy
98.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.8%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))))
98.8%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)))))
98.8%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.8%1(*.f32 (cos.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))))))
98.8%1ux
98.8%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes285.0ms (2.5%)

Memory
-17.3MiB live, 420.5MiB allocated
Counts
101 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (cos.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 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (cos.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 (* 2 maxCos)) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (cos.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) maxCos) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 (cos.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 (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 (cos.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 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.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)))))
(*.f32 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (cos.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 (* 2 maxCos)) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
Calls

11 calls:

44.0ms
(*.f32 (cos.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))))))
29.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
25.0ms
maxCos
24.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
24.0ms
uy
Results
AccuracySegmentsBranch
93.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
93.2%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
93.2%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
93.2%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
93.2%1(*.f32 uy #s(literal 2 binary32))
93.2%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
93.2%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
93.2%1(*.f32 (cos.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))))))
93.2%1ux
93.2%1uy
98.8%2maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes47.0ms (0.4%)

Memory
29.5MiB live, 74.5MiB allocated
Counts
95 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 (cos.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 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (cos.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) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (cos.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 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (/ (- 1 (pow (- ux (* maxCos ux)) 2)) (+ 1 (- ux (* maxCos ux)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (cos.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 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
Calls

2 calls:

21.0ms
maxCos
21.0ms
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Results
AccuracySegmentsBranch
93.2%1(*.f32 (cos.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))))))
93.2%1maxCos
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes196.0ms (1.7%)

Memory
7.5MiB live, 340.0MiB allocated
Counts
76 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (cos.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 (cos.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 (cos.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 (cos.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))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.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))))))
Calls

11 calls:

19.0ms
ux
19.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
18.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
18.0ms
uy
18.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
70.8%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
85.9%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
85.9%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
85.9%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
85.9%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
70.8%1(*.f32 uy #s(literal 2 binary32))
70.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
85.9%2ux
70.8%1uy
70.8%1maxCos
85.0%2(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes152.0ms (1.4%)

Memory
-24.9MiB live, 166.7MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (cos.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 (cos.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))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
Calls

6 calls:

43.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
40.0ms
(*.f32 (cos.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))))))
18.0ms
ux
16.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
16.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
84.3%2(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
83.4%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
83.4%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
83.4%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
83.4%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
83.4%2ux
Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes102.0ms (0.9%)

Memory
-4.6MiB live, 184.6MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
Calls

6 calls:

19.0ms
ux
18.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
16.0ms
(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)))))
15.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
14.0ms
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Results
AccuracySegmentsBranch
77.2%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.2%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
77.2%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
77.2%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
77.2%2ux
77.2%2(*.f32 (cos.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 83 to 53 computations (36.1% saved)

regimes122.0ms (1.1%)

Memory
30.7MiB live, 123.5MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
Calls

6 calls:

51.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
18.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
13.0ms
ux
13.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
12.0ms
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Results
AccuracySegmentsBranch
77.1%2(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
77.1%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
77.1%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
77.1%2ux
77.1%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.1%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes64.0ms (0.6%)

Memory
-21.2MiB live, 119.3MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
Calls

5 calls:

14.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
14.0ms
ux
12.0ms
(-.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))))
11.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
10.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
Results
AccuracySegmentsBranch
77.1%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
77.1%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
77.1%2ux
77.1%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
77.1%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes67.0ms (0.6%)

Memory
46.5MiB live, 137.2MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
Calls

6 calls:

12.0ms
(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)))))
11.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
11.0ms
ux
11.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
10.0ms
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Results
AccuracySegmentsBranch
76.0%2(*.f32 (cos.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))))))
76.0%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.0%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.0%2ux
76.0%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.0%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes122.0ms (1.1%)

Memory
-34.1MiB live, 211.5MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Calls

11 calls:

36.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
10.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
9.0ms
ux
8.0ms
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
8.0ms
maxCos
Results
AccuracySegmentsBranch
63.3%1maxCos
63.3%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
63.3%1(*.f32 uy #s(literal 2 binary32))
63.3%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
63.3%1uy
72.5%2(*.f32 (cos.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))))))
72.2%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
72.2%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
72.2%2ux
72.2%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
72.2%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes71.0ms (0.6%)

Memory
13.8MiB live, 154.6MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (neg.f32 uy) (*.f32 (neg.f32 uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) (*.f32 uy #s(literal 1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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))))
Calls

9 calls:

8.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
8.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
8.0ms
ux
8.0ms
(*.f32 uy #s(literal 2 binary32))
8.0ms
uy
Results
AccuracySegmentsBranch
63.3%1(*.f32 uy #s(literal 2 binary32))
63.3%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
63.3%1uy
63.3%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
63.3%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
63.3%1ux
63.3%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
63.3%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
63.3%1(*.f32 (cos.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 92 to 68 computations (26.1% saved)

regimes57.0ms (0.5%)

Memory
-14.4MiB live, 128.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (PI.f32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) uy) uy) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #s(literal -2 binary32)) uy #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (fabs.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

11 calls:

7.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
6.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
5.0ms
ux
5.0ms
uy
Results
AccuracySegmentsBranch
59.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
59.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
59.0%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
59.0%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
59.0%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
59.0%1(*.f32 (cos.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))))))
59.0%1ux
59.0%1maxCos
59.0%1(*.f32 uy #s(literal 2 binary32))
59.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
59.0%1uy
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes17.0ms (0.2%)

Memory
-5.6MiB live, 41.9MiB allocated
Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Calls

11 calls:

2.0ms
maxCos
1.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
1.0ms
(*.f32 uy #s(literal 2 binary32))
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
6.6%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
6.6%1maxCos
6.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
6.6%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
6.6%1(*.f32 uy #s(literal 2 binary32))
6.6%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
6.6%1uy
6.6%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
6.6%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
6.6%1(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
6.6%1ux
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.0618350643198937e-7
1.3476152105340589e-7
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2.3153608708526008e-5
2.5406312488485128e-5
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01653076708316803
0.018336229026317596
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999408721923828
0.9999492168426514
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999408721923828
0.9999492168426514
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999408721923828
0.9999492168426514
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999408721923828
0.9999492168426514
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01953582651913166
0.02053830772638321
Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify73.0ms (0.6%)

Memory
15.4MiB live, 61.9MiB allocated
Algorithm
egg-herbie
Rules
1 166×distribute-neg-out
786×distribute-lft-in
748×distribute-rgt-in
706×associate-*r*
694×fp-cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01501086
12731086
25531086
312491086
432581086
569891086
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(if (<=.f32 maxCos #s(literal 8444249/70368744177664 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (cos.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 (* 2 maxCos)) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(if (<=.f32 ux #s(literal 13743895/549755813888 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (cos.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)))))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 2415919/134217728 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 5368709/268435456 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Outputs
(*.f32 (cos.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 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.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 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(if (<=.f32 maxCos #s(literal 8444249/70368744177664 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (cos.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 (* 2 maxCos)) 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) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(if (<=.f32 ux #s(literal 13743895/549755813888 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (cos.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)))))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 2415919/134217728 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #s(literal 16776293/16777216 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) uy)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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)))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 5368709/268435456 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 5368709/268435456 binary32)) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) #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 (cos (* (* uy 2) (PI))) (fma.f32 #s(literal -2 binary32) (*.f32 uy (*.f32 (*.f32 (PI.f32) (PI.f32)) uy)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) uy) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))

derivations1.5s (13.5%)

Memory
-14.9MiB live, 820.2MiB allocated
Rules
7 276×lower-*.f64
7 276×lower-*.f32
6 992×lower-fma.f64
6 992×lower-fma.f32
6 910×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04512475
115722343
268612323
085762211
0129710606
1463210259
092799818
069487
0121429
1492375
24274375
08884372
072481
0126417
1482399
23196393
08211369
066478
0115348
1406342
22619336
010929330
04062229
114172116
262622098
080821994
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 086 to 151 computations (86.1% saved)

preprocess101.0ms (0.9%)

Memory
13.3MiB live, 105.6MiB allocated
Remove

(abs uy)

Compiler

Compiled 2 394 to 438 computations (81.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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