Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 16.9s)

start0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated

analyze1.6s (9.4%)

Memory
28.6MiB live, 1 964.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.2%0%0%100%0%0%0%7
9.4%0%0%100%0%0%0%8
14.1%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
31.6%0%0%100%0%0%0%11
36.9%0%0%100%0%0%0%12
Compiler

Compiled 120 to 50 computations (58.3% saved)

sample4.3s (25.2%)

Memory
78.4MiB live, 5 528.7MiB allocated
Samples
3.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-mult: 573.0ms (19.2% of total)
ival-div: 410.0ms (13.8% of total)
ival-cos: 313.0ms (10.5% of total)
const: 304.0ms (10.2% of total)
ival-sin: 293.0ms (9.8% of total)
ival-tan: 291.0ms (9.8% of total)
ival-<=: 264.0ms (8.9% of total)
ival-add: 120.0ms (4% of total)
ival-atan: 116.0ms (3.9% of total)
ival-pi: 115.0ms (3.9% of total)
ival-sqrt: 59.0ms (2% of total)
ival-sub: 56.0ms (1.9% of total)
ival-and: 44.0ms (1.5% of total)
exact: 15.0ms (0.5% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain736.0ms (4.3%)

Memory
-28.0MiB live, 485.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1823(6.374207828230283e-9 0.0037314705550670624 0.023646924644708633 0.058643702417612076)5(0.005296343006193638 0.0360901802778244 0.10080935806035995 0.8553973436355591)(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
1794(0.005926044192165136 0.0014810400316491723 0.2567349076271057 0.053336016833782196)13(2.9396758236543974e-6 0.0057028476148843765 0.10396893322467804 0.000386539613828063)(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
00-0-(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
00-0-(*.f32 alphax alphax)
00-0-(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(/.f32 alphay alphax)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
00-0-#s(literal 1/2 binary32)
00-0-(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-u1
00-0-(*.f32 #s(literal 1/2 binary32) (PI.f32))
00-0-alphax
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
00-0-u0
00-0-(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
00-0-(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
00-0-(*.f32 alphay alphay)
00-0-#s(literal 1 binary32)
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
00-0-(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
00-0-(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
00-0-(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
00-0-(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
00-0-(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
00-0-alphay
00-0-(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
00-0-(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f32(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))sensitivity1809
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancellation17018
Confusion
Predicted +Predicted -
+00
-19264
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-1921054
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
064
134
2158
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
210.0ms512×0valid
Compiler

Compiled 2 564 to 132 computations (94.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 45.0ms (32% of total)
ival-div: 19.0ms (13.5% of total)
ival-tan: 18.0ms (12.8% of total)
ival-sin: 15.0ms (10.7% of total)
ival-cos: 15.0ms (10.7% of total)
ival-atan: 13.0ms (9.3% of total)
ival-add: 7.0ms (5% of total)
ival-sub: 3.0ms (2.1% of total)
ival-sqrt: 3.0ms (2.1% of total)
ival-pi: 2.0ms (1.4% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess171.0ms (1%)

Memory
18.8MiB live, 213.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021260
14911222
210131108
332361108
462671108
03288
05788
18986
212778
317678
427078
572078
6222578
7418378
8616878
0804473
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32))))
Compiler

Compiled 88 to 32 computations (63.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Compiler

Compiled 88 to 32 computations (63.6% saved)

simplify143.0ms (0.8%)

Memory
-6.6MiB live, 155.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff64
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
cost-diff224
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032824
057824
189814
2127730
3176730
4270730
5720730
62225730
74183730
86168730
08044681
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 alphay alphax)
alphay
alphax
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u1
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(*.f32 alphax alphax)
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 u0 (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))))
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
(fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay alphax)
alphay
alphax
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u1
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(*.f32 alphax alphax)
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
(*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)

localize97.0ms (0.6%)

Memory
15.3MiB live, 216.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.375
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
accuracy0.4928512695368841
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
accuracy11.75374956860611
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
Samples
75.0ms256×0valid
Compiler

Compiled 1 650 to 66 computations (96% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 13.0ms (22.4% of total)
ival-div: 10.0ms (17.2% of total)
ival-tan: 9.0ms (15.5% of total)
ival-cos: 8.0ms (13.8% of total)
ival-sin: 7.0ms (12.1% of total)
ival-add: 3.0ms (5.2% of total)
ival-atan: 3.0ms (5.2% of total)
ival-sqrt: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
ival-sub: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series180.0ms (1.1%)

Memory
-13.1MiB live, 385.9MiB allocated
Counts
8 → 62
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
Outputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))))
Calls

12 calls:

TimeVariablePointExpression
23.0ms
alphax
@-inf
((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
19.0ms
alphax
@inf
((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
15.0ms
u1
@-inf
((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
15.0ms
alphay
@inf
((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
13.0ms
alphay
@-inf
((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))

simplify316.0ms (1.9%)

Memory
2.8MiB live, 358.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054715643
1183613063
0824712189
Stop Event
iter limit
node limit
Counts
62 → 62
Calls
Call 1
Inputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(* 2 (* u1 (PI)))
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Outputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
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1
#s(literal 1 binary32)
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(fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) u1 (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(fma.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32)) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32))) u1 (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(*.f32 alphay (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 u1 alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax))))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 (*.f32 u1 #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) u1) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (/.f32 alphay (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax))) (*.f32 alphay (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 u1 alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax)))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (*.f32 alphay u1) (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) #s(literal -4 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))))) alphax) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 alphay alphax)) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphay (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 u1 alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax)))))
(* 2 (* u1 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 (fma.f32 (/.f32 (PI.f32) u1) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))) u1)
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (neg.f32 u1) (fma.f32 (/.f32 (PI.f32) u1) #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))))
(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphax alphax) (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay))
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binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) u0) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal -3/4 binary32) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 10 binary32)) u0) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 10 binary32)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) u0) (/.f32 (-.f32 (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))))) (pow.f32 alphay #s(literal 6 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal -3/4 binary32) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 alphay #s(literal 4 binary32))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) alphay) alphay)) (*.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))

rewrite252.0ms (1.5%)

Memory
25.5MiB live, 257.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032324
057219
1228202
22076202
08656191
Stop Event
iter limit
node limit
iter limit
Counts
8 → 348
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
Outputs
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(/.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphay)) (neg.f32 alphax))
(/.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)) (/.f32 alphax alphay))
(/.f32 (*.f32 (/.f32 alphay alphax) (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay)) (neg.f32 alphax))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphay)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (neg.f32 alphax)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) alphax))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphay)) (*.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphax)))
(/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay) (*.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphax))
(/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)) (*.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (*.f32 (neg.f32 alphay) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (neg.f32 alphax) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (*.f32 alphay (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 alphax (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (*.f32 alphay (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 alphax (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (/.f32 alphax alphay) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (/.f32 alphax alphay) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay) alphax)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 alphax (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay))))
(/.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphax alphay))
(/.f32 #s(literal 1 binary32) (/.f32 alphax (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay)))
(pow.f32 (/.f32 alphax (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay)) #s(literal -1 binary32))

eval328.0ms (1.9%)

Memory
-15.7MiB live, 345.6MiB allocated
Compiler

Compiled 86 298 to 7 914 computations (90.8% saved)

prune100.0ms (0.6%)

Memory
-6.4MiB live, 71.3MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New78214796
Fresh000
Picked011
Done000
Total78215797
Accuracy
99.8%
Counts
797 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
89.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
43.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
57.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
55.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
96.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
90.7%
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal -2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) #s(literal -1/2 binary32)))
97.9%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
92.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Compiler

Compiled 2 434 to 1 116 computations (54.1% saved)

simplify240.0ms (1.4%)

Memory
19.5MiB live, 215.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
cost-diff0
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
cost-diff160
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff192
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
cost-diff160
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff192
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
cost-diff0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
cost-diff64
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0)
cost-diff224
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff7552
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032500
01742255
12672077
23622077
35202077
411162077
529962077
671512077
081902070
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))))
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(/.f32 alphay alphax)
alphay
alphax
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
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(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u1
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(*.f32 alphax alphax)
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(*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
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(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
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(sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
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(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
#s(literal -1/2 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
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(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 alphay alphay)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(*.f32 alphax alphax)
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 u0 (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))
(fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay alphax)
alphay
alphax
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u1
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(*.f32 alphax alphax)
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))
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(*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
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(*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(literal 1 binary32)
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#s(literal 1 binary32)
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(sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))))
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(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay)
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay)
(sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax)
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
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(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
u1
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#s(literal 2 binary32)
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alphay
alphax
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#s(literal -1/2 binary32)
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#s(literal 1 binary32)
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
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(/.f32 alphay alphax)
alphay
alphax
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(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
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(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(*.f32 alphax alphax)

localize471.0ms (2.8%)

Memory
-30.3MiB live, 532.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.4928512695368841
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
accuracy11.653066126816796
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
accuracy29.09822991147304
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy0.521816259768442
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
accuracy11.75374956860611
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
accuracy26.290785871358622
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy0.521816259768442
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
accuracy11.75374956860611
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
accuracy26.290785871358622
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy2.5421512731126006
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
accuracy10.2681942141572
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
accuracy11.75374956860611
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy11.75374956860611
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
Samples
334.0ms256×0valid
Compiler

Compiled 4 956 to 180 computations (96.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-cosu: 71.0ms (23.5% of total)
ival-sin: 69.0ms (22.9% of total)
ival-mult: 44.0ms (14.6% of total)
ival-div: 27.0ms (9% of total)
ival-cos: 21.0ms (7% of total)
ival-tan: 17.0ms (5.6% of total)
ival-pow2: 11.0ms (3.6% of total)
ival-sinu: 10.0ms (3.3% of total)
ival-add: 10.0ms (3.3% of total)
ival-atan: 8.0ms (2.7% of total)
ival-pow: 6.0ms (2% of total)
ival-sqrt: 5.0ms (1.7% of total)
ival-sub: 1.0ms (0.3% of total)
ival-pi: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series281.0ms (1.7%)

Memory
21.9MiB live, 535.8MiB allocated
Counts
26 → 210
Calls
Call 1
Inputs
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0)
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
Outputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))))))))
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
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(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))
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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3))))))))
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))
Calls

12 calls:

TimeVariablePointExpression
50.0ms
alphax
@inf
((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))
34.0ms
alphay
@inf
((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))
20.0ms
alphay
@-inf
((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))
20.0ms
u0
@inf
((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))
19.0ms
alphax
@-inf
((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))

simplify260.0ms (1.5%)

Memory
14.4MiB live, 406.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139450037
1547249878
0841646535
Stop Event
iter limit
node limit
Counts
210 → 210
Calls
Call 1
Inputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))))))))
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
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(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))
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(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))
Outputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 2 u1))
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(cos (* 1/2 (PI)))
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(* 2 (* u1 (PI)))
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(* 2 u1)
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))
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(cos (* (PI) (- 1/2 (* -2 u1))))
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(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2)
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(- (+ 1 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
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(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax alphax)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 alphay alphay)) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
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(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphay alphay)))) (*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(-.f32 (+.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphay #s(literal 4 binary32))))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphay alphay))))
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))
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rewrite221.0ms (1.3%)

Memory
3.8MiB live, 355.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0991045
0166873
1641743
25874743
09217741
Stop Event
iter limit
node limit
iter limit
Counts
26 → 770
Calls
Call 1
Inputs
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0)
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
Outputs
(*.f32 (pow.f32 (/.f32 (*.f32 alphax alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alphax)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (pow.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphax) alphax)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 alphax #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 1 binary32)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(*.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))))
(*.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(*.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax))
(*.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(*.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphax) alphax)))
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (pow.f32 alphax #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 alphax #s(literal -2 binary32)))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)) #s(literal 1 binary32)))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))))
(/.f32 (*.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)) (neg.f32 alphax))
(/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (neg.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) (neg.f32 alphax))
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 1 binary32)) (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) alphax)
(/.f32 (neg.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax)) (neg.f32 alphax))
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(*.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -2 binary32))
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 2 binary32)))

eval260.0ms (1.5%)

Memory
-8.1MiB live, 500.2MiB allocated
Compiler

Compiled 165 514 to 8 558 computations (94.8% saved)

prune64.0ms (0.4%)

Memory
-3.3MiB live, 158.8MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1 191191 210
Fresh639
Picked145
Done011
Total1 198271 225
Accuracy
99.9%
Counts
1 225 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
86.0%
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
89.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
92.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
57.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
58.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
94.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
91.7%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.4%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
98.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.2%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
97.9%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
94.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
98.7%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
92.8%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
56.8%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
95.0%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))))))
92.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Compiler

Compiled 5 447 to 2 529 computations (53.6% saved)

simplify150.0ms (0.9%)

Memory
7.8MiB live, 203.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
cost-diff160
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
cost-diff224
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff7552
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))
cost-diff0
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
cost-diff64
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01563252
02673011
14072931
25602931
39132931
421082931
550032931
083232931
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
(*.f32 u1 #s(literal 2 binary32))
(*.f32 alphay alphay)
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(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 alphax alphax)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
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#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
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#s(literal 1 binary32)
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(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))
(pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))
(/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
alphay
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
u1
#s(literal 2 binary32)
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphax
#s(literal -2 binary32)
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))
(/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
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#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
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(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
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(/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax))
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))
(*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(*.f32 alphax alphax)
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 alphay alphay)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))
(*.f32 #s(literal 2 binary32) u1)
(*.f32 alphax alphax)
Outputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
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(/.f32 alphay alphax)
alphax
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
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#s(literal 1 binary32)
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
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alphay
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
u1
#s(literal 2 binary32)
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphax
#s(literal -2 binary32)
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#s(literal 1 binary32)
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(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay alphax)
alphay
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 alphay alphay)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay)))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))
(atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay)
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))
(cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))
(*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))
(*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32))
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))
#s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) u1)
(*.f32 u1 #s(literal 2 binary32))
(*.f32 alphax alphax)

localize819.0ms (4.8%)

Memory
-127.2MiB live, 766.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy11.653066126816796
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))))
accuracy26.294563587428076
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))
accuracy28.216172081149864
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy11.75374956860611
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy11.75374956860611
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy26.290785871358622
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy26.81479185599024
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
accuracy0.4958000488422101
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))
accuracy9.870491524916483
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy11.75374956860611
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy12.238816896593006
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
accuracy0.375
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
accuracy6.781728412069766
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
accuracy11.653066126816796
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy27.408579393465786
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy11.653066126816796
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy11.653066126816796
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
accuracy12.238816896593006
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
accuracy25.901691983047574
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
Samples
675.0ms252×0valid
11.0ms1valid
Compiler

Compiled 6 383 to 280 computations (95.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 619.0ms
ival-mult: 321.0ms (51.9% of total)
ival-sin: 60.0ms (9.7% of total)
ival-div: 56.0ms (9% of total)
ival-cos: 36.0ms (5.8% of total)
ival-cosu: 22.0ms (3.6% of total)
ival-pow2: 22.0ms (3.6% of total)
ival-tan: 20.0ms (3.2% of total)
ival-add: 19.0ms (3.1% of total)
ival-atan: 15.0ms (2.4% of total)
ival-sqrt: 14.0ms (2.3% of total)
ival-sinu: 11.0ms (1.8% of total)
ival-tanu: 11.0ms (1.8% of total)
ival-pow: 7.0ms (1.1% of total)
adjust: 1.0ms (0.2% of total)
ival-sub: 1.0ms (0.2% of total)
ival-pi: 1.0ms (0.2% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series286.0ms (1.7%)

Memory
31.0MiB live, 301.3MiB allocated
Counts
36 → 241
Calls
Call 1
Inputs
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))
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(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
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(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))))
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))
Outputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
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(+ 1 (* u0 (- (* u0 (- (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2)))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 4)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* 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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* 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(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))
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(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
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(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
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(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))))
Calls

12 calls:

TimeVariablePointExpression
37.0ms
u0
@inf
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36.0ms
alphay
@inf
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34.0ms
alphax
@inf
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22.0ms
alphay
@-inf
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alphay alphax)))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))))
20.0ms
u1
@-inf
((+ (* u1 2) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 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u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))) (cos (* (+ (* 2 u1) 1/2) (PI))) (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))) (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))))

simplify283.0ms (1.7%)

Memory
-18.4MiB live, 457.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149954334
1585154165
0810150536
Stop Event
iter limit
node limit
Counts
241 → 241
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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1/2
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(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2)))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 4)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))
(+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))))
(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(+ 1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))
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(+ 1 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
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(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
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(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))
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(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))
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(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax))
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))
(fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32))
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax) #s(literal 1 binary32))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 4)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (*.f32 u0 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
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(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))
(-.f32 (fma.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 3 binary32))) (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32))))
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))))
(-.f32 (-.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (pow.f32 alphay #s(literal 6 binary32))) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 4 binary32)))) (-.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 alphay #s(literal 4 binary32))) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 3 binary32)))))

rewrite188.0ms (1.1%)

Memory
27.5MiB live, 215.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521465
02581223
110001137
277271137
082591133
Stop Event
iter limit
node limit
iter limit
Counts
36 → 721
Calls
Call 1
Inputs
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
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(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
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(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))))
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))
Outputs
(*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))))
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))))
(/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32)) (*.f32 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))))
(*.f32 (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal 1/2 binary32))
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(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))
(*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32))))
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))))))) #s(literal 1 binary32)))
(cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))))))
(cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))

eval202.0ms (1.2%)

Memory
24.4MiB live, 331.8MiB allocated
Compiler

Compiled 129 748 to 7 019 computations (94.6% saved)

prune130.0ms (0.8%)

Memory
-30.1MiB live, 130.0MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New84617863
Fresh8917
Picked415
Done055
Total85832890
Accuracy
100.0%
Counts
890 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
87.1%
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
87.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (pow.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
89.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
92.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
94.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
58.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
92.1%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
45.4%
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log1p.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
93.5%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
98.5%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal 1 binary32))))
58.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ alphay (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
91.7%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.5%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.2%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
98.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
94.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
98.7%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
92.8%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
95.0%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))))))
92.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Compiler

Compiled 5 853 to 2 855 computations (51.2% saved)

simplify140.0ms (0.8%)

Memory
12.7MiB live, 168.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))
cost-diff0
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
cost-diff64
(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
cost-diff0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
cost-diff0
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
cost-diff0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
cost-diff0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
cost-diff64
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
cost-diff160
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01493323
02513157
14173153
25963153
39923153
424273153
549333153
083023145
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
(*.f32 u1 #s(literal 2 binary32))
(*.f32 alphay alphay)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(*.f32 alphax alphax)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
#s(literal 1 binary32)
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(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))
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(/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)
(*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay)
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
alphax
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
#s(literal 1 binary32)
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(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
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(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))))
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))
(*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)
(+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
u1
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)
(-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
alphax
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
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#s(literal 1 binary32)
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))
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(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 alphay alphay)
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(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
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(*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(*.f32 alphax alphax)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
u0
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 alphay alphax)
alphay
alphax
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 alphay alphay)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(*.f32 alphax alphax)
Outputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))))
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#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)))
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32)))
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))))
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax))))
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax))
(*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)
(*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay)
(+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)))
(tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
u1
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)
(fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)
(-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))))
(*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)))
alphax
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))
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(sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 alphay alphax)
alphay
alphax
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 alphay alphay)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(*.f32 alphax alphax)

localize737.0ms (4.3%)

Memory
-37.3MiB live, 870.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
accuracy0
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
accuracy0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))
accuracy29.98788023102775
(PI.f32)
accuracy0
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
accuracy0
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
accuracy0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
accuracy29.98788023102775
(PI.f32)
accuracy0
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))))
accuracy0
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))
accuracy0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
accuracy29.98788023102775
(PI.f32)
accuracy0
(sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)))
accuracy0
(atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))
accuracy0
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
accuracy29.98788023102775
(PI.f32)
accuracy0
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))
accuracy0
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
accuracy0
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
accuracy29.98788023102775
(PI.f32)
Samples
594.0ms256×0exit
Compiler

Compiled 6 147 to 283 computations (95.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-div: 164.0ms (31.3% of total)
ival-mult: 70.0ms (13.4% of total)
ival-pow2: 64.0ms (12.2% of total)
ival-sin: 47.0ms (9% of total)
ival-tanu: 37.0ms (7.1% of total)
ival-cos: 36.0ms (6.9% of total)
ival-atan: 24.0ms (4.6% of total)
ival-cosu: 23.0ms (4.4% of total)
ival-tan: 22.0ms (4.2% of total)
ival-add: 17.0ms (3.2% of total)
ival-sinu: 10.0ms (1.9% of total)
ival-sqrt: 7.0ms (1.3% of total)
ival-sub: 2.0ms (0.4% of total)
ival-pi: 1.0ms (0.2% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series390.0ms (2.3%)

Memory
34.0MiB live, 447.7MiB allocated
Counts
31 → 187
Calls
Call 1
Inputs
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))
(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))
(PI.f32)
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))
(atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))
(sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)))
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
Outputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (* -1/2 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))))))))
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(PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 5) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (* 1/2 (* (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3))))))))
(/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))
(+ (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (- 1 u0))))) (+ (/ (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 5) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))))
Calls

12 calls:

TimeVariablePointExpression
81.0ms
alphax
@0
((/ (pow (cos (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2) (* alphax alphax)) (+ (* u1 2) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2) (* alphax alphax)))) 1))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (PI) (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2))))) (atan (/ (* (tan (* (+ (* 2 u1) 1/2) (PI))) alphay) alphax)) (sin (atan (/ (* (tan (* (+ (* 2 u1) 1/2) (PI))) alphay) alphax))) (atan (/ (* (+ (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2))) alphay) (* (- 1 (* (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2)))) alphax))) (sin (atan (/ (* (+ (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2))) alphay) (* (- 1 (* (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2)))) alphax)))) (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2))))) (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))))
47.0ms
u0
@inf
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33.0ms
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30.0ms
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27.0ms
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2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (PI) (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2))))) (atan (/ (* (tan (* (+ (* 2 u1) 1/2) (PI))) alphay) alphax)) (sin (atan (/ (* (tan (* (+ (* 2 u1) 1/2) (PI))) alphay) alphax))) (atan (/ (* (+ (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2))) alphay) (* (- 1 (* (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2)))) alphax))) (sin (atan (/ (* (+ (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2))) alphay) (* (- 1 (* (tan (* (* (PI) 2) u1)) (tan (* (PI) 1/2)))) alphax)))) (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2))))) (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))))

simplify334.0ms (2%)

Memory
29.1MiB live, 504.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154662530
1605760208
0871856067
Stop Event
iter limit
node limit
Counts
187 → 187
Calls
Call 1
Inputs
1
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(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (* -1/2 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))))))))
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(pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (* 1/2 (* (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3))))))))
(/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))
(+ (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (- 1 u0))))) (+ (/ (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 5) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax))
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))))
(fma.f32 (*.f32 (/.f32 (*.f32 alphax alphax) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32))
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#s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) (fma.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 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(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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rewrite236.0ms (1.4%)

Memory
-1.3MiB live, 276.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491819
02511365
110871340
256371340
083751340
Stop Event
iter limit
node limit
iter limit
Counts
31 → 469
Calls
Call 1
Inputs
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))
(PI.f32)
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))
(atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))
(sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)))
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))))
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
Outputs
(*.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) alphax) (/.f32 #s(literal 1/2 binary32) alphax))
(*.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax))) (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax))))
(*.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (pow.f32 alphax #s(literal -2 binary32))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(*.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) alphax) (/.f32 #s(literal 1 binary32) alphax))
(*.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))
(*.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphax) alphax)))
(*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))
(*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 alphax #s(literal -2 binary32))))
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (pow.f32 alphax #s(literal -2 binary32)))
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax)))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (pow.f32 alphax #s(literal -2 binary32))))
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)))
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal -1/4 binary32)) (pow.f32 alphax #s(literal -2 binary32))) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (pow.f32 alphax #s(literal -2 binary32))) (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32)))))
(/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax)) (neg.f32 alphax))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (pow.f32 alphax #s(literal -2 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (neg.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))) (neg.f32 alphax))
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 1 binary32)) (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))))
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphax)
(/.f32 (neg.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) alphax)) (neg.f32 alphax))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) (neg.f32 (*.f32 (neg.f32 alphax) alphax)))
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 alphax alphax)))
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (*.f32 alphax alphax)))
(/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 alphax alphax)))
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(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1 binary32))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax)))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax)))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax)))
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1 binary32))
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))

eval294.0ms (1.7%)

Memory
22.3MiB live, 363.5MiB allocated
Compiler

Compiled 160 019 to 8 009 computations (95% saved)

prune162.0ms (1%)

Memory
-23.1MiB live, 239.1MiB allocated
Pruning

41 alts after pruning (32 fresh and 9 done)

PrunedKeptTotal
New82216838
Fresh51621
Picked145
Done156
Total82941870
Accuracy
100.0%
Counts
870 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
86.2%
(pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
90.8%
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
86.9%
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
91.4%
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
85.0%
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
91.2%
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
86.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
85.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
89.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
92.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
94.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
21.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
58.1%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
92.1%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
46.5%
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log1p.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
93.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
98.5%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal 1 binary32))))
57.8%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32))))
97.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ alphay (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
91.7%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.5%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.2%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
98.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
94.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
99.2%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
98.7%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
93.5%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32)))))
92.8%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
95.0%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))))))
17.9%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
92.1%
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Compiler

Compiled 11 237 to 2 808 computations (75% saved)

regimes263.0ms (1.6%)

Memory
12.4MiB live, 491.4MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ alphay (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal -2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) #s(literal -1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Calls

13 calls:

31.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
19.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
19.0ms
alphay
18.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
18.0ms
alphax
Results
AccuracySegmentsBranch
99.5%1u0
99.5%1u1
99.5%1alphax
99.5%1alphay
99.5%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.5%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.5%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.5%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.5%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
99.5%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
99.5%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
99.5%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
99.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes350.0ms (2.1%)

Memory
-0.7MiB live, 316.1MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
Calls

13 calls:

96.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
38.0ms
alphay
26.0ms
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
21.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
19.0ms
alphax
Results
AccuracySegmentsBranch
99.2%1u0
99.2%1u1
99.2%1alphax
99.2%1alphay
99.2%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.2%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.2%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.2%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.2%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
99.2%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
99.2%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
99.2%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
99.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes275.0ms (1.6%)

Memory
-20.6MiB live, 331.7MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
Calls

13 calls:

38.0ms
alphax
29.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
24.0ms
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
20.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
18.0ms
u1
Results
AccuracySegmentsBranch
98.7%1u0
98.7%1u1
98.7%1alphax
98.7%1alphay
98.7%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.7%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.7%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.7%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.7%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
98.7%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
98.7%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
98.7%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
98.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes211.0ms (1.2%)

Memory
20.0MiB live, 183.9MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
Outputs
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
Calls

13 calls:

43.0ms
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
30.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
28.0ms
alphax
20.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
10.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
Results
AccuracySegmentsBranch
97.9%1alphay
97.9%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
97.9%1u0
97.9%1u1
97.9%1alphax
97.9%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.9%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.9%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.9%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.9%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
97.9%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
97.9%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
97.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes75.0ms (0.4%)

Memory
10.2MiB live, 86.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
Calls

13 calls:

23.0ms
alphax
20.0ms
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
3.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
3.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
Results
AccuracySegmentsBranch
97.7%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.7%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
97.7%1u0
97.7%1u1
97.7%1alphax
97.7%1alphay
97.7%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.7%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.7%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.7%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
97.7%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
97.7%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
97.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes49.0ms (0.3%)

Memory
-0.4MiB live, 73.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
Calls

13 calls:

16.0ms
u0
12.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
2.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
2.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
Results
AccuracySegmentsBranch
94.7%1u1
94.7%1alphay
94.7%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
94.7%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
94.7%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
94.7%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
94.7%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
94.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
94.7%1alphax
94.7%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
94.7%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
94.7%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
94.7%1u0
Compiler

Compiled 522 to 219 computations (58% saved)

regimes130.0ms (0.8%)

Memory
-31.9MiB live, 54.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Outputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Calls

13 calls:

100.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
13.0ms
u0
2.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
2.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
Results
AccuracySegmentsBranch
92.1%1u0
92.1%1u1
92.1%1alphax
92.1%1alphay
92.1%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
92.1%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
92.1%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
92.1%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
92.1%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
92.1%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
92.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
92.1%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
92.1%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Compiler

Compiled 522 to 219 computations (58% saved)

simplify113.0ms (0.7%)

Memory
12.8MiB live, 88.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0156723
1204723
2229723
3253722
4294722
5344722
6456722
7565722
8631722
9644722
10669722
11727722
12839722
131000722
141197722
151399722
161573722
171713722
181819722
191886722
201932722
211958722
221966722
231967722
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphay) (*.f32 (-.f32 (*.f32 (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 1 binary32)) alphax))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

soundness1.0s (6.2%)

Memory
-4.8MiB live, 718.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054715643
1183613063
0824712189
0139450037
1547249878
0841646535
032324
057219
1228202
22076202
08656191
01491819
02511365
110871340
256371340
083751340
0991045
0166873
1641743
25874743
09217741
01521465
02581223
110001137
277271137
082591133
Stop Event
fuel
iter limit
node limit
iter 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 1 205 to 394 computations (67.3% saved)

preprocess89.0ms (0.5%)

Memory
23.7MiB live, 101.7MiB allocated
Compiler

Compiled 1 620 to 382 computations (76.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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